{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b1eb9ff3-4a62-4e61-93b5-718f36a47d2d",
   "metadata": {},
   "source": [
    "Chapter 21\n",
    "# 谱分解拉普拉斯矩阵完成聚类\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "aadef33b",
   "metadata": {
    "hide-output": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7c508521-02f6-4282-93ad-2e8436d4e871",
   "metadata": {
    "hide-output": false
   },
   "outputs": [],
   "source": [
    "G = nx.karate_club_graph() \n",
    "# 空手道俱乐部图\n",
    "pos = nx.spring_layout(G,seed=2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "114dfd77-8f28-4054-bfb9-449e534df2ec",
   "metadata": {
    "hide-output": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1ZeclbFq8iX2PCXqLeSzrt+Xe6jEkndymW1kLIJMrsGroW2B/1FqJKTsvPTcraw0pODgYgOrVq+NkZ4tT3gvdy5W8Kktp01OI3jIVbXoKzkPmYGTtoDumsLIHQG5ZIdd1CssKoFUjZaQjeyJD2YtUwUrMIQuCkKeGDRtiY2OjN2wNMHnyZK5cucLevXvzvK64K2uzSVoNWlX+C8Ze1JW1RREcHIy5uTmNGjV61l0psicrS0nqDB5um4E6Pgqnft9g4qg//WBk7YDC0k6XuzsnTXIsMiMTZKa5C5mU1wpWJfHiPIkgCAalUCho3bo1J06c0Pvcx8cHb29vvv/+e/JKY1CclbW6zzNVRC7sn/Vn0UBi9y9Hm5GWu08v4MraoggODkYmk9GwYcNn3ZUiy65gBVlfth7tmoPq3nUqvjkJ06r187zGon5bNEmPSLt9TveZJjWR1LBTmFVvhEymH7LKWwWr0hJD1oIg5MvHx4f58+ej1Wr1hqcnTZpEjx49CAwMpG3btnrXFGVlbQWfwbrPFFZ22LTqg4lzbZC0pN06i/LsXjIf3sb5re/15gyzV9ZOw8PAT1p+paenc+7cOTIzM/HweH6eO2cFq/jDq0kLO4W5Wws0aUqUl4/onZs9XWHbuh+p1wN5tHMWNl5vIje1JPn836DRUKHd27nuUV4qWBnKi/MkgiAYnLe3N19//TVXrlzB0/Nx+sVu3brRsGFDZs+erReQi7uyFsCuwzC98ywbtMfYvioJx38l9Xoglg3a6x1/0VbWFubMmTNkZmYCPFdvyPC4glV2Huq0sH9JC/s313nZAVlhaYfzkLnEH15N0uk/QKPBtGpdHHuMx8S5lt415aWClSG9HH+jBUEokRYtWmBkZMSJEyf0ArJcLueLL75g6NChXLx4UTe3WdyVtfmx9nqDhICNpIdfyBWQX7SVtYUJDg7GxMSEzMxM6tatW/gF5cjglq6sCw6n0uDZRb7GuEIlnHp/Weh5Gq3EkFYv1jY4MYcsCEK+LC0tadq0aa6FXQADBgygevXqzJkzR/dZYStrnfpP11tZmx+5sSlyc2s06Xkv4HqRVtYWJjg4mIoVK1KnTh3MzMyedXeKxd3ZmlbVbQtNalJc5aGCVVkQAVkQhAL5+PjkWtgFYGxszIQJE/D39+fWrawhyeKurM2PVpWKNjUJhUXeb8Ev0sragkiSRFBQEEZGRs/V/HG2c+fOcXLpp0gaw1byetYVrMrKy/G3WhCEEvPx8SE8PJy7d+/mOvbee+/h4ODA/PnzgeKvrJXUGXludUoM8gckzGu+kuvYi7aytiB37tzhwYMHJCYmPnfzx2vXrqVNmzY4msHEV2sYtO0ZPT1eyAQxIiALglAgb29vgDzfki0sLPjkk09Ys2YN0dHRupW1wOOVtbWa6VbW5vwDWXPLUT+9S+w/P5F0ejdJp3fzcOs0kk7twKxWM8zrtMp1zxdtZW1BshOCJCQkPDdvyCqVihEjRvDee+8xZMgQAgMDGdO1KXXSbxik/WddwaosiYAsCEKBnJ2dcXNzyzMgA3z00UcYGxvz449ZqR196zqhkMv0VtbG/rkg1x8AuZkl5m4tSA8/R8Kx9cQfWYs68SEV2r+NU5+v89h3KtG2tn0ZPm35EhwcTNWqWXm/n4c35IiICNq2bcv69etZtWoVq1atwszMjA0bNnBg0Xi6OSY89xWsypJMymtn/xOKWlxZEIQX07vvvsuFCxc4e/ZsnscnTpzIzz//TEREBA/T5XRadLzM+pK+/UtGD+3DqFGjcHR0LLP7lAdeXl7I5XLOnTtHSkpKgQU9nrUDBw4waNAgrKys2L59O82aZRWCuHTpEi1btmTAgAGsWbOGu/FpTNl5iYCwGBRyWYFVwLKPt3VzZFYvz+d2mLqoMVS8IQuCUChvb28uXLhAcnLeq57HjRtHeno6K1euxN3ZmrZujsV+CyqMQi7jlSrm9OrYmlmzZuHq6sqoUaMIDQ016H3Ki7S0NM6fP4+ZmRl169Yt02CcolJz5V4i5yLiuXIvkRRV0RdhabVaZs2axWuvvUbz5s05c+aMLhgnJibSu3dv6tSpw7Jly5DJZLoKVgc+bcfQltWp7mDBk39TZEB1BwuGtqzOwXHt2DC85XMbjItDvCELglCo69evU79+ffbv30+nTp3yPOeDDz7gzz//5Pbt2zxK1eK38BgqA25PMjWSc3Bce1zsLYiJiWH58uUsXbqUR48e0aNHDz777DPatWuHTGbYLwKQFbDCY1OeaoWlgIAA2rVrxyuvvIK7uzv+/v4Gbf9mdDK/nYrgyI2HRMSl6u0flwGu9hb41nVicEtX3J3z3l6UkJDA22+/zZ49e/jmm2/45ptvUCiy9phLkkTv3r05cuQIZ86coXbt2vn25Vn8fJ+mosbQF+eJBUEoM3Xr1sXBwYHAwMB8A/Lnn3/O6tWrWb9+PSNGjGB6Tw8m7bhksD7kXFnr6OjI119/zcSJE/ntt9/44Ycf6NChA82bN+ezzz6jb9++pX6jNETAKo3g4GAsLS0JDw+nV69eBms3Mi610CFjCbgTl8qGU3dYFxye55DxxYsX6d27N7GxsezZs4fu3bvrtTF//nx27drFH3/8UWAwhqw0my9LopeCiCFrQRAKJZPJ8Pb2zjNBSDZ3d3f69u3L3LlzUavVDPRyZULnOga5f34ra83MzBg+fDiXL1/mr7/+wtbWlrfeegs3NzcWLFhAUlJSse8VGZfK0NWn6LToOBtO3eHOE8EY9ANWp0XHGbr6FJH5pAwtqeDgYJo0aUJcXJzBVlj7h0Tgt/AYQbdiAQqcv815POhWLH4Lj+EfklXYY+PGjbRq1QorKyvOnDmTKxgfPXqUSZMmMXnyZHr27GmQvr8MREAWBKFIfHx8OHXqlC6vcl6++OILbt26xfbt2wEY4+vO7N6eZb6yViaT0bVrVw4ePMi5c+do3749kyZNolq1aowfP56IiKJViDJUwCotSZIIDg6mevXqgGFWWC89cpNJOy6hUmsLfa4nabQSKrWWSTsu8dpnCxk6dCj9+/cnKCiIWrX0c0zfu3ePgQMH0qFDB2bMmFHqfr9MxByyIAhFEhQUhLe3NyEhITRv3jzf8zp37syjR484e/asbj63KMOk2Qy1sjYqKoolS5awcuVKkpOT6devH+PHj8+370uP3GT+/tIvEJvQuQ5jfN1L1cbt27epVasWH3zwARs2bECpVOrmZkti5vo9zFm8kvSIS6gTo5Gb22BapS4V2g3F2L6q3rlJZ/aQfHYv6oQHKMxtsKjflgpthyI3eZy2s5tDHMvGD8k1X5+ZmYmvry/h4eGcPXsWJ6cXq/hDSRU1hoqALAhCkahUKmxtbZkzZw6ffPJJvucdPnyYjh07sm/fPl577TW9Y7p52dCH3IlNgRzra2VkJf3wrePEkFauBstTrFQqWbNmDYsWLeL27du0a9eO8ePH0717d11JSf+QCMYt207KpUOFBq3k8/tIuXKUzNi7aFVKFFYOmLl6UsF7EEYVnAGY09uzVMkrNm3axODBgxk6dCiXL1/Od7tZUUTGpdLAuzNpkVexqOeDsVMNNMp4ks/+iZSRTqW352NSsQYA8UfWknRqOxZ1vTGr0ZjMmEiSz/2FWfVGOA/4VtdmzgV2OX322WcsWbKE48eP07p16xL3+UUjArIgCAbXrl07nJ2d2bp1a77nSJJEy5YtsbS05MiRI/meN37SFHYdOMG2nbueyspajUbDzp07WbBgASdPnqROnTqMGzeOV3v0o8eKf7m79TtUd68VGrRi//kJKVOFScXqyM2sUCdGk3zhH9BqqfzeEoysHfINWEX18ccf888//+Do6Ejt2rXZsGFDiZ976OpTHD4egJGzGzLF44VumXFR3Fs9Bst63jj2mIBaGUfUT+9iWb8djj3G685LOrOH+AMrqdjnayzcWwJZoxhtajmwYXhL3XlbtmxhwIABLF68mI8//rjE/X0RiX3IgiAYXPbCroK+x8tkMiZNmsTRo0c5efJkvueplElYaxJp6mqHRxXbMt/molAo6Nu3L8HBwQQFBeHp6cno0aN5ddIqMtQarL16UfWjNdh3GoF149eo4D2QSoPnIGk1JJ3cpmvH4bWPcOw+DpuWvbFq3JkK7Ybi1G8a2rQkUi4fBkCtlZiys+QrzIODg2ndujVXrlwp1fzxzehkAsJiMK5SXy8YAxjbV8XE0ZXMmEgAMqKug1aDZYN2eudZ1s/655Rrj5O9aLQSAWExhD3M2pd+7do1hg8fzqBBgxgzZkyJ+/uyEwFZEIQi8/Hx4cGDB9y+fbvA8958803q1q3L7Nn518FVKpVYWVkZuotF0rp1a7Zt28b+U5cwquaJhAyzaoUHrfwY2WbNlWpVKUDugFUcqampXLhwgbp165KUlFSqFda/nYrIdzGdJEloUhOQW2S9sUmarMV6MiNTvfNkxln/nPHgP73PFXIZG09GoFQq6dOnD66urvz8889lsg/8ZSECsiAIRZY9L1jQ9icAuVzOF198wR9//MHVq1fzPCc5OfmZBeRsAfekAld/Pxm0ctKkJaFJSUB1/yaxexcBYFa9se54dsAqrtOnT6NWq7G1zdqXW5o35CM3Hua7gC7lylE0ybFY1msLgNH/58nT7+r/+1JFXgFAo4zV+1yjlTgS+pAPPviAyMhItm/f/sz/fT7vREAWBKHI7O3t8fDwKDQgAwwePJiqVasyd+7cPI8rlUqsrZ9tgfmCAhbkDlo53V36DneXDOHB+nGooq5j5zcC85pNdcezA1ZxBQcHY2VlRUpKCpaWlri6lmxxmFKlJiKfvdGZsZHEHViOadV6WHp2BMC0khsmVeqSdGo7yosHUCdEk/bfaWL3LQO5EVKmKlc7d2JT+H37LtasWUO9evVK1E/hMZGpSxCEYvHx8SEgIKDQ80xMTBg/fjyff/45M2bMyBVYlEolVapUKatuFqqggAV5B62cnPtPR1JnkBkbScqVo0iZ6bnOuRObyvGgUxjLtGg0miL92bp1Ky4uLuzevRsnJyd++eWXIl+b80+s1hzJLPdKZ40ynodbpyM3tcTxzcnI5I+3U1XsNZmYP+YS+1dW5S5kcmxavEl6xGUy46Ly+CnJGPbxRPr161f4D1wolAjIgiAUi7e3NytXriQuLg57+4JLIX7wwQd8++23/PDDDyxatEjv2LOcQ4ast7v83o0LClrZzKo3AsC8dnPM3Vtxf/VoZCZm2DTroXeeX69BZD4seM69ICNHjkShUBT7Dw41oK1+QNampxC9ZSra9BSch8zByNpB77iRtSOVhswlMy4KTUo8xnZVUVjZcXfp2xjb5/3ladRosaLaUERAFgShWHx8fICsRCFPpkx8kpWVFR9//DHz58/nq6++0iuXmJyc/EyHrDPyKXxRWNDKi7FdZUyca5Fy5WiugPzb5t9p4GxRpCAaERFB48aN2b59O0OGDOHbb79l/Pjxed6zsIIMV+4l8vqSx1MLkjqDh9tmoI6Pwnngd5g45j8UbmxfVbf3OiMmAo0yLs9RAgALM5NCfz5C0YiALAhCsdSoUYMqVaoQGBhYaEAGdAF56dKlTJs2Tff5s35DNjHKvYSmOEHrSdrMDNDkTivaoF6dIhdO2Lt3LwDVq1cnLS0NT09PvePFKXhRw8ESGVl5tyWthke75qC6dx2nPl9hWrV+kfojSVoSjqxFZmyKdZOuuY7LgBoOlkVqSyicCMiCIBRLUQpN5OTo6MgHH3zA4sWLmTBhgi4IP+uAnDNgQdGClqTVoM1IQ2Gm32/VvRtkPgrHskF7vc+LG7CCg4OpU6cOUVFZ87XZW55KWqGpcgUz7iWkE394NWlhpzB3a4EmTYnysn7CFquGvgDEHViJpMnExKkWklZNytVjZNwLxaH7ON3WrpxcHSxeqDKJz5r4SQqCUGw+Pj5MnDiR9PR0zMzMCj3/s88+Y9myZaxatYpx48ahVqtJS0t7pkPWlqZGuNpbcOf/C7uKErSkjDSilg3Don5bTBxdkRmbkfkoHOWlg8hNLbH1Hqh3TXEDVs6EIBUqVKBKlSr4h0QwdfcV1P8PwsUpeIEkIZdBRvQtANLC/iUt7N9c12QHZBPn2iSd/oOUK0dBJsO0ch2cB83UzZfnpJDL8K0jclUbkgjIgiAUm7e3NxkZGZw5cwZvb+9Cz3d1dWXw4MEsWLCA0aNHk5aWBvDM9612qFuRDcHhaJEVKWjJjE2xatyZ9DsXSb1xAikzA4WVPZb122PbZoAulzUUP2ClpKRw4cIFPvzwQ44fP46HhwfLjoaVuOBFzsBdaXD+CVpysmrkh1UjvyK3P6RVyfN1C7mJgCwIQrE1btwYS0tLAgMDixSQAT7//HPWr1/Pb7/9RufOnYFnG5BPnjzJ/mVz0L7yPlC0oCVTGGPv92GR2i9uwDp9+jQajYbWrVuzfPlyqrbrz/z9oWgz0kg6tQPVvRtk3A9Fm67EodunuQJnzJ8LSbl8KFe7RvbVqPrhiiL3oyiyc1kbqgCIkEUEZEEQis3IyIjWrVtz4sSJIl/ToEED3njjDebMmUPLlllFCZ7FkHVoaChTpkxh+/btNGrUiPp2EJpYcEnI4ipJwAoKCsLa2pq6desSGhWL0jJrQZc2NYnEE5tR2FTE2KkmqogCcmQrjHHoOlbvI7lpyQpcFMRILmNWL8/CTxSKRQRkQRBKxNvbmyVLlqDVanVlDAszadIkWrdurVtN/DTfkKOjo5k+fTo///wzVapUYf369QwePJh7iSr8Fh4zaEAuScAKDg6mRYsWhIeHY93xQ7QyOUigsLKn2pgNKKzsUN2/yYP14/JtQyZX6OaDy9KMnh4lrmQl5E+kzhQEoUR8fHyIi4vj+vXrRb6mVatWdOjQgdWrVwOPA3KKSs2Ve4mci4jnyr1EUlRqg/UzOTmZadOmUbt2bTZv3szs2bMJDQ3l7bffRqFQ4GJvwfSeJS/gkJfiBixJknQLug6GXMG85itkfz+QGRmjsLIreltaDVpV/hnIilBxt0ATO9ctVa1nIX/iDVkQhBJp2bIlCoWCEydO0KBBgyJfN2nSJLp06YKxgwsrT8fx784jhe6pdXcu/tB2ZmYmq1atYvr06SQmJjJ27FgmT56MnV3u4DbQy5UYparEC6hyKknA+u+//4iJiaF169YsDYpG0jrkmR2sMFKmisiF/ZEyVcjNrLBo0B67DsOQm5hnHddqAQmFXIGmGHFZIZdhJJcxo6eHCMZlSLwhC4JQItbW1jRu3LjI+5Gz1W/uQ/V35lHlg+XsuPiIO08EY9DfU9tp0XGGrj5FZAF5p/WulSS2bduGh4cHY8aMoWvXroSGhjJ37tw8g3G2Mb7uzO7tiamRvMAKUHlRyGWYGsmZ09uT0b5uxboWsoarIWsE4b90sxIFY4WVHTat+uDQ7VMce07E3K0lyrN7ebhlKpJWA4BMLsdGoaZNbUddvwuSfbhNLQcOjmsvgnEZE2/IgiCUmI+Pj24+uCiy99TKKtVFgkLf0nLuqfVbeIzpPT0YWEBQCAgI4PPPP+fkyZN06dKFbdu20ahR7j20+Rno5Yp3bcdCk3Bkk7QaZHIFbWo5MKuXZ4nnVYODg6lXrx4mljaojEq20M2uwzC9f7Zs0B5j+6okHP+V1OuBuqQlSsmUFUOacS8hLSvrV+hDImL1vxRJkoStXEXvVvUY0spVrKZ+SkRAFgShxLy9vVm8eDH379+ncuXKBZ679MjNx0PCsuINzmm0EhqtxKQdl4hRqhjj6653/OrVq0yaNIk9e/bQrFkzDh06xKuvvlqse2Rzsbdgw/CWj9NU5hGwQKKSpRGhx3bz48d9GdqzZYnulS17/jjsQSLIivd2XhBrrzdICNhIevgFXUCWgPDYFDyq2DKtpwfT8NDlxb4TGcU7QwfTvF519u7aUeTFeoJhiIAsCEKJZe9BPnHiBH379s33PP+QCGau/5OUS4dIj7iEOjEaubkNplXqUqHdUF0hA4A7s/PPj21Wownz+Y6KVqYM8HIlKiqKqVOnsnbtWqpXr87mzZvp37+/QQKJu7N1roCVodbyRo/XGdTdj9lfTqfW6lGc+EvG0J6dSnwfpVLJxYsX+eijj/jvdnip+52T3NgUubk1mvRkvc+fLKxhaWpEbXtT3un5NlaZCWxaf1gE42dABGRBEEqsatWq1KxZs8CAHBmXytTdV0g6uQ3V3WtY1PPB2KkGGmU8yWf/5P7aT6j09nxMKtYAwKF77upGGQ9uknx6N2Y1mwLwze4rnNixll9+nIOlpSULFy5k5MiRmJiUTeUhS1MjXYGIapYQHRWBTCajX79+rFu3jqVLl2JkVLJfpyEhIWi1Wlq3bs3+kKuA4Yo1aFWpaFOTUFjoF7fIq7DGJ598wuXLlwkKCipwrl0oO+IrkCAIpVJYoYkpOy+h1kpYe/Wi6kdrsO80AuvGr1HBeyCVBs9B0mpIOrlNd75VQ99cf6SMdECGZf2sYdf0jEy23jHms88+IywsjLFjx5ZZMH6Si4sLkZGRAPTr149Hjx5x/PjxErcXHByMjY0NDRo04OF/V0q0LUlSZ+S51SkxyB+QMK/5iu6zvAperFu3jp9//plly5bxyiuvIDwb4g1ZEIRS8fHxYfPmzXlWb7oZnUxAWAwAZtVyV08ytq+KiaMrmTGR+bYvqTNJvXECU9eGGNlkrQ6WyRWYVm/MsLHtsLV9uguOXFxcOHfuHADNmzenRo0abN26tcRz1sHBwbRs2RK5XM6NKxcxqVGHTLMKeuckndmDNj0FjTIOyMq3rU7O+rnaNOuBNl3J/bVjsWjQHmOHagCk3z5L2n+nMavVDPM6rXRtPVnw4sKFC4waNYr33nuP4cOHl+gZBMMQb8iCIJSKj48PGo2Gf//NXZDht1MRBW6tkSQJTWoCcgubfM9J+y8ErSoFS48Oep8r5DI2nowocb9Lqlq1akRGRiJJEjKZjL59+7Jjxw40Gk2x25IkiZMnT9K6dWsArly5gqtRcq6fWdKpnSQGbER57i8AUkODSAzYSGLARrTpSuRmlpi7tSA9/BwJx9YTf2Qt6sSHVGj/Nk59vkb2/0V0Txa8SEhIoE+fPtSvX5+lS5eW9EciGIh4QxYEoVTq169PhQoVCAwMzPWWeOTGwwK3DaVcOYomOZYKPoPzP+fqUVAYY1lXv4iFRitxJPQh0zBslq3CuLi4kJ6eTlxcHA4ODvTr14/58+dz/PhxfH2Ll7YyLCxMlxAkLS2NsLAw3qtlxooI/Z9ZtY/WFNqWY4/cc+9PylnwQqvV8s477xAbG8v+/fsxNzcvVt8FwxNvyIIglIpcLs9zHlmpUhNRQDKPzNhI4g4sx7RqPSw9O+Z5jlaVStp/pzGv3Ry5We681xGxqQZNs1kULi4uALp5ZC8vL6pXr87WrVuL3VZ2QpCWLVty/fp1JEnC95X6tHVzLHZyksIo5DLaujnq9hTPnTuX3bt3s2HDBmrVqmXQewklIwKyIAil5u3tTXBwMGr14+B4JzYlVwaubBplPA+3Tkduaonjm5PzzUyVeuMEkjoDywYd8jyevaf2aXoyIJdm2Do4OJj69etjZ2fH5cuXgayqWLN6eWJk4ICcs+DF4cOH+fLLL/nyyy/p3j3/bWbC0yUCsiAIpebj44NSqeTSpcelAZ/c65pNm55C9JapaNNTcOo/HSNrh3zbTblyFJmpJRZuLfI9J7/7lBUnJyeMjIy4e/eu7rN+/foRHR1NQEBAsdrKTggCWfPH1atXx9raukwLXkRFRTFw4EBeffVVpk+fbtB7CKUjArIgCKXm5eWFiYmJXn3kvPa6SuoMHm6bgTo+Cqd+32DimH8aTLUyjvSIS1jUbYPMyDjf8/K6T1lSKBRUrVpV94YM0KJFC1xdXYs1bJ2cnMylS5d0Afny5ct4eDwOwgO9XJnQuY5B+pxd8CIjI4N+/fphamrKpk2bUCiKnzNbKDsiIAuCUGpmZmY0a9ZMbx65hoMlOQddJa2GR7vmoLp3nYpvTsK0au5tUDmlXj0Okjbf4WrIe0/t05BzLzI8Hrbevn17kYetcyYEgaw35IYNG+qdk7PghSzfCYC85VXwYuLEiZw+fZpt27ZRsWLFYrX3NJVlOc7yTKyyFgTBIHx8fNi0aZNuO5ClqRGu9hbc+f/CrvjDq0kLO4W5Wws0aUqUl4/oXW/VUH+FcsrVoyis7DGr7pnvPZ/cU/u0ZG99yqlfv3788MMPBAYG0r59+0LbCA4OxtbWlvr166NUKgkPD9d7Q86WXfCi9djFGLl4FlrwQiHLKtrxZMELf39/Fi9ezLJly2jZsnS5t8uCLnf4jYdlUo7zeSACsiAIBuHj48O8efOIiIigevXqAPjWdWLDqTtotBIZ0beArKQWaWG59yznDMiZsXfJeBCGtdebuj20T3pyT+3T5OLiQkhIiN5nLVu2xMXFha1btxY5IGcnBLl69SpArjfkbIH//EHUb5N599MpuPq+lW+FJidzeL1pzVwVmq5evcr777/P4MGDGTVqVPEfuAxFxqUWWl0rZznOdcHhtHVzLFV1rfJKJhUhT1tSUhK2trYkJiZiY5P/Bn5BEF5eMTExVKxYkY0bNzJ4cNa+4pvRyXRaVPK0koU5OK7dMykNuGTJEiZOnEhaWhqyHNWZxo0bh7+/P3fv3i1wflaSJCpWrMiYMWOYNm0aa9as4f3330epVGJhkTvI1KpVi4iICJRKJWZmZkDWsO6E6XNYv+E3bKwsaFG/Jrt35J7DTk5OxsvLCyMjI06dOoWl5dMf4s9PdjlO9f+reRWVQi7DSC4rtBxneVHUGCrmkAVBMAhHR0fq1aunN4/s7mz9VPbUPm0uLi6oVCoePXqk93m/fv148OCB3uK2vNy8eZPY2Fi9+ePatWvnGYxPnTrF7du36dGjhy4YA1y7dJ5Vc6fS1NWO5IhrLFk4P9e1kiQxfPhw7t27x44dO8pVMF565CaTdlxCpdYWKxhDVoITlVrLpB2XWHrkZhn18OkTQ9aCIBiMt7d3rmA0q5cnfguPFfuXbkFy7ql9FqpVy8oXfffuXZycHg+bt2rViqpVq7J161batWuX7/U5E4JA7hXWOX388ccAeqktVSoVw4YNw93dnVOnTjFz5kzdNEFOP/74I1u3bmX79u3UqWOYFduGUJxynACZMZHEHVqF6u5VZAojzGt7YdfxfRQWtszfH6orx/m8E2/IgiAYjI+PD5cvXyYhIUH3WVnuqX1WnkwOkk0ul+tWW2u1+e+PDg4OpkGDBlSoUAHIe4U1QFRUFCEhIXh5eVG16uMgNWPGDG7cuIGZmRl16tRh3Lhxua4NDAxk4sSJTJgwgd69e5fkMctEznKcqTeCMKveGDu/D7Fq/BrpkZe5v/YTMh6F685XJ8Xw4LcvUMffp0L7t7Fp0Zu0/0KI9v8KSZMJZJXjjCwgK9zzQgRkQRAMxsfHB0mSdG+A2fT31JbwTfn/y10GN7R+5m9DFStWxMTEJFdAhqxh6/v37xc4bJ0zIUhCQgJRUVF5viGPHj0a0H87Pn36NHPmzKF79+6cP3+en376KVfpyQcPHtC/f3/atGnD999/X6JnLCvFLceZGLwFKVOF86CZ2DTviW2b/ji+OYnMh7dRXjoEgForMWXnpfxu+dwQAVkQBIOpXbs2Tk5OedZHzt5TayQDSVO8faUKuQxTYwVWV/9g9fj+3L5921BdLhG5XE7VqlX1snVla926tW7YOi9JSUl6CUGuXLkC5F5hnZaWxp9//kmNGjVo0SIrU1n2ULWHhwcBAQEMGTKEDh066F2nVqsZOHAgkiTh7++PkVH5mZnMLsep0UqYVauPTKGf8CWvcpypN4Iwd/PCyPbx1IB5jSYY2Vcl9VpWZjSNViIgLIawh8lP50HKiAjIgiAYjEwmw8fHJ8+ADFlvyu9Xvo8qIuttRlHIWq/sxWBtajlwcFx7Dq/6DisrK1577bVcC6qetieTg2STy+X06dMn32Hrf//9F0mS9DJ0KRSKXHO8kyZNQqPRMGvWLN1nM2bMIDQ0FHd3d9RqNfPn517INWXKFAIDA9myZQuVK1cu7WMaVHHLcaqTY9CmJmBSyS3XuaaV6+i20sGzK8dpSCIgC4JgUD4+Pvz7779kZGTkedxIlUj6vvkc+LQdHaopyIy7l+scGVDdwYKhLatzcFw7NgxviYu9BU5OTvzzzz8kJibSvXt3UlKebmGJnPILyJA1bH3v3j2CgoJyHQsODqZChQrUq1cPyHpDrlOnDqamprpzJEnil19+oUKFCgwcOBB4PFT97rvvsn37dmbNmoWzs7Ne2zt27GDevHnMnTuXtm3bGupRDaao5Tgt62X1XaOMB0BhZZ/rXIWVHdr0ZCR11jxydjnO51n5GcsQBOGF4O3tTXp6OmfPnqVVq1a5jiuVSqysrHB3tqZ2wlmU/nO4++AREfFpZKi1mBjJqeFgmW8Grtq1a7N37146dOjAgAED2LVr1zMZlq1WrVq+88Rt2rShSpUqbN26FR8fH71jOROCQN4rrJctW0ZqaipffPEFMplMN1TdqFEjTp06RbNmzRgxYoTeNaGhoQwbNoy+ffvmucjrWStJOU5JrQLINbSd9ZmJ7pzsXOfZ5TifRfY2QxBvyIIgGFTTpk0xNzfPd9g6OTkZK6us2sYnT56kZcuWWJub4FHFlqaudnhUsS30F2rz5s3Zvn07//zzDyNGjKAI+Y0MzsXFhaioqDyHpbOHrbdt26Z3XKvVcvLkSd1wNeS9wnrmzJmYmJgwefJk4PFQdadOnbh48SLLly/XSzySkpJCnz59qFKlCqtXr9ZLVlJelKQcp8woa9QgezV1TpImQ+8ceDblOA1JBGRBEAzK2NiYli1b5vv2qFQqsba21q3GzhmciuO1115jzZo1rFmzhm+++aY0XS4RFxcXMjMzefgw72HS7GHrnCvOQ0NDiY+P1z3zo0ePePjwod4b8r59+3jw4AEDBw7E2NhYN1T96aefsnz5ckaOHImXl5fufEmSGDlyJLdu3WL79u3lNptiScpxKqzsANAo43Jdp1HGIzezzlUJ7GmX4zQkEZAFQTC47IVdeb25Zg9Z37p1i5iYmDyHtYtq6NChzJ49m++++47ly5eXpsvFlt9e5Gze3t5UrlxZb7V1cHAwMplMlxAkrxXW48ePRyaTsWjRIt1QdePGjblz5w5mZmbMnDlT7z4rVqxg48aNrFq1Kt/kIuVBScpxGlk7IrewJeNBWK5rVfdDMXGuWaT7PC+e354LglBu+fj4EBMTQ2hoaK5j2QH55MmTAKWuPPT5558zduxYRo8ezc6dO0vVVnHkzNaVl7yGrYODg/Hw8MDW1hbImj82MTHBzS1rFfH169e5evUqvr6+2NnZ6YaqR4wYwZYtW5g/fz52dna6e/z777988sknjBkzhrfeeqssH7fEJEni8uXL7Nu6QbeXHIpejtOibhvSwkJQJz1eVZ8Wfh51XBQW9fTn559VOU5DEQFZEASDa9WqFTKZLM9h6+TkZKytrQkODqZu3brY2+deQVscMpmMhQsX0rdvXwYNGpTv3LWhOTo6YmZmlu8bMmQNW0dFRem+fDw5RH/lyhXq1aunW5T20UcfAVmLurKHqidPnsyCBQto27YtQ4cO1V0bExND3759adasGQsWLCiLRywRSZK4evUqP/30E/369cPZ2RlPT08mT/wMo/QE3Xm6cpy1munKceb8k822dX9kxqZEb5pC0uk9JAZvIWbXbIwr1sDKs5PevZ9VOU5DeX57LghCuWVra0ujRo0IDAzkvffe0zuW8w25NMPVOcnlcn799Ve6du1Kjx49CAwMLPPhW5lMlmdd5Jy8vb2pVKkSW7duxcPDgytXrvDZZ5/pjudcYR0XF8fRo0dp0KABNWvWpFmzZjRu3BiFQsGtW7fYsWOHbrGWRqPhrbfeIi0tja1bt+bK1PU0SZJEaGgoR44c4ejRoxw9epTo6GiMjIxo0aIFH374Ib6+vrRu3Zop28/xx5U4JJm8yOU4jWwq4vzW98Qf/oWEY+uQyY0wd/PC7tXhevPHz7Icp6GIgCwIQpnw8fHhwIEDuT5XKpWYmppy4cIF3n//fYPdz8zMjF27dtG2bVu6dOlCcHCwbli5rFSrVi3fIWsAhUKhG7bu0qWLXkIQSZK4cuUKXbt2BbJKN0qSxIIFC/j2228JDQ1l165d9OnTh88++0zvC8b06dM5dOgQ+/fvL/NnfJIkSYSFhXH06FFdEL5//z4KhQIvLy/ee+89OnTogLe3t6661Pnz53n33XfZdeQUlYcvA6DS4NlFvqdJxeo4D/i2wHM0WokhrZ7vAhNiyFoQhDLh7e1NaGhorlXIycnJKJVK1Gq1wd6Qs9na2vL3338jl8vp2rUr8fHxBm3/SQUlB8nWr18/7t69y7Zt27Czs6Nq9VpcuZfIwXNhKI0r4FbPg8zMTPz9/XF2dsbR0ZHZs2fz1Vdf8dNPP1GxYkW+/vprXXt79+7l22+/5bvvvqNjx45l+nyQFYBv3brF6tWrGTJkCC4uLtSpU4eRI0cSFhbG0KFD+fvvv4mPjyc4OJhZs2bRuXNnLC0tOXHiBK+//jpNmzYlJCSExd9Opk0t+xeuHKehyKQibOAranFlQRCEbJGRkbi6urJjxw569eql+9zOzo42bdpw7NgxEhISyiSpx7Vr1/D29sbT05N//vlHr46wIX355Zds3LiRO3fu5HuORqOhWoPmmHr4YVyjCWrTCrn241qTTtTp/Yzq5Mkfv67AxMSEKVOm0K9fP72f3+3bt2nWrBk+Pj7s2rVLl1zE0MLDw3VvwEeOHCEyMhK5XE7Tpk3x9fWlQ4cOtG3bNs94IEkS+/fvZ9asWRw/fpwGDRowefJkBg4ciJGREZFxqfgtPIbKgNuTTI3kHBzX/plWACtIUWOoGLIWBKFMuLi44OLiwokTJ3QBRZIklEol9+7dw8vLq8wybNWvX58///yTjh07MmTIEH7//Xe9RBqGUq1aNaKiotBoNHm2HxmXypSdlzDt/R2SVkOmPO8+JGOG9Suv81u8gnTPgfz8vi9j3h1Et27dePPNNwFIT0+nT58+2NnZsX79eoMG44iICL0h6PDwcGQyGU2aNKFv3774+vrStm1bXbnIvGi1Wnbu3MmsWbM4e/YsXl5e7Ny5k549e+r1Nbsc56QdhqvO9KzLcRqKCMiCIJSZJwtNqFQq1Go1t2/fZtSoUWV67zZt2uDv70/v3r355JNPWLJkicEzWLm4uKDRaIiOjqZKlSp6x/xDIpi6+wrq/+duluUTjLNlHzev0YRxB2JROjViyZLFuj5//PHHXLt2jeDgYL2tTyURFRWlC75Hjhzh1q2sBVaNGjXijTfeoEOHDrRr165IK+AzMzPZvHkz33//PdevX+fVV1/l4MGDvPrqq/n+vAd6uRKjVDF/f+5tccU1sXPdZ16O01BEQBYEocz4+PiwdetWUlNTsbCwQKlUApCYmFjiDF3F8cYbb7B8+XJGjBhB1apVdakoDSVncpCcAXnpkZslDjYSMtTIsek0ir/uaBhTC9asWcMvv/zC2rVradKkSbHbvH//vt4b8M2bN4GshCTdunXD19eX9u3b4+DgUEhLj6WlpbFmzRrmzZvHnTt36NmzJ2vXri3yuoAxvu44WpnqvrQUVHTiSQq5DCO5jBk9PV6YYAwiIAuCUIa8vb1Rq9WEhITQvn17XUCG0icEKaoPP/yQe/fuMWXKFCpXrsywYcMM1nbOgJz9PPP8DzJt2jQyHoShSUlAZmyKsYMLNi17Y+GedY4kaUm5dJjU0CAyom+hTU/GyNYZi/rtsG3ZG5lR1jam+ftDSYuL5uuPPuKDDz4oct+jo6P1AvCNGzeArKH8Tp06MWvWLNq1a4eTU/G3CSUlJbF8+XJ++OEHYmJiGDhwIHv27MHT07PYbQ30csW7tiNTdl4iICwGhVxWYGDOPt6mlgOzenm+EMPUOYmALAhCmWnYsCE2NjYEBgbSvn17kpOzCshXrlw5V+nAsjR16lTu3bvH+++/j7Ozs26rUWnZ2dlhbm6u2/oUGZfKoj+C0GakYenZEYWVPVKmitQbQTza/i32XcZg3aQLUqaK2L8WYVKlLtZNuyK3sEUVdZ3EwE2k37mA86BZuuHeZScfUa+5N4sXL863H48ePdLtAT5y5AjXrl0DoG7dunTo0IHp06fToUOHUv3MY2Ji+PHHH1m6dCmpqakMGzaMiRMn6rKMlZSLvQUbhrfkZnQyv52K4EjoQyJiU/UWvsnISvrhW8eJIa1cn/vV1PkRAVkQhDKjUCho06YNgYGBpKjUXI5KwKRyHeq1bvlUy+TJZDJ++uknHjx4QN++fTly5AgtWrQwSLs5tz5N2XkJs1rNca7RTO8862bdub/uU5L+3YV1ky7IFEY4D5mHWbXH6SKtm3TByNaZxMDfSL9zAfMaTQCQ5ArcBn6tt1I8NjaWY8eO6d6AL1++DIC7uzsdOnTg66+/pn379rnmtUvi7t27LFiwgJ9//hmAkSNH8tlnn1G1atVSt52Tu7M103p6MA0PUlRqwmNTilSO80Uitj0JglBmbkYn88nSbVyKlTCydc791mNvgW9dJwa3dMXduezfelJTU/Hz8+PmzZsEBQXh7u5e6jb9/Pywt7dn5pLVdFp0PN/zHm6djurBTVw+3pjvORkPw7m/Zgx2fiOwad5D79ikRplcP5X1Bnzx4kUAatWqpduG1KFDB4MmCQkLC2POnDmsX78eS0tLxo4dy8cff4yjo6PB7vGyENueBEF4ZrK3+wSExSCXOaGwJdfeWwm4E5fKhlN3WBccTls3xzKfF7SwsGDPnj14e3vz2muvERQURKVKlUrVZrVq1QgNDeW3UxF6c6DajHQktQqtKpW0m6dIu3UGi/ptC2xLk5KVyERhof9LW9JqmLLmb2zD9tOhQwfGjx9Phw4dcHU1/IKmixcv8v3337NlyxYqVqzIzJkzGTFihHgZewpEQBYEwaCe3O5T2OLZ7AAWdCsWv4XHmN7Tg4FluHLWwcGBffv20aZNG15//XWOHj2KtXXJ385dXFw4dOgQR2481FuQFH/4F5Tn92X9g0yORZ3W2HcueKtX0qntyEwtMK+lP+Qtkyuo/2pfThxYWeJ+FiY7y9aff/5J9erVWbp0KcOGDcPc3LzM7inoE6kzBUEwmKVHbjJpxyVUam2xtrFAVmBWqbVM2nGJpUdullEPs9SoUYO///6bsLAw+vTpQ0ZGRonbcnFx4X5MPBFxqXqf23i9gdPA73B4fRzmtZohSVrQZObbTmLQFtLDz2PXfhhyM6tcx+8lZZCiUpe4n3mRJIkDBw7g6+tLmzZt+O+///j111+5efMmo0aNEsH4KRNvyIIgGIR/SASzfjtAYuCmArf8AKju3UB56RAZ926Q8SgctBqqT/pTd3z+/lAqWpmW6R7Txo0bs2vXLrp06cJ7773Hr7/+WqLsV9WqVUNu45RrSN7YwQVjh6xtUVaeHYn2/5qH22ZQ6e0fciXMSLl2nITjG7Bq1BnrV7rleR8JCI9NwaOKbbH7+CStVssff/zBrFmzOH36NM2aNWPHjh288cYbZZaOUyicCMiCIJRaZFwqU3dfQZP0sNAtPwBp/51GeWE/Jk41MKpQCXVcVK42v9l9hTa1Hct0TtnX15dff/2VgQMHUqVKFebOnVvg+UqlkqioKO7evUtkZCR3797l4sWLyBTGBV4HYFHPm7h9S1HHRWHs8HjxVdrtc8T8+QPmtZtj32V0gW1klDL/c3YRi++//55r167RoUMH9u/fj5+fn8GzmAnFJwKyIAilNmXnJdRaCfPaXpjX9tI79uSWHwDrV7ph06ovcmNT4vYvJzmPgKzWSkzZeYkNw8s2gciAAQO4f/8+48aNQyaT8eqrr3L37t08/yQkJOhdW7FiRSpXroxUwFB0NilTBYBWlaL7THXvBo92zMS0kjuOb04qNL2miVHJ3l7T09NZu3Ytc+fOJTw8nO7du/PLL7/Qpk2bErUnlA0RkAVBKJWb0ckEhMXke1wmV2Bk7YjqweN5YYVl4bmYNVqJgLAYwh4mlyoRhCRJxMXF5Rtks/8AzJ07l7lz5yKTyahUqRLVqlWjWrVq+Pr66v5/9p8qVapgZmaGJEnYOFQka1BZhiYlAYVlBf0+aNSkXD6MzMgUY8esYfjMmEgebp2Oka0TFftNRW5sWuBzyIAaDpbFevbk5GRWrFjBDz/8wMOHD+nfvz+7du2icePGxWpHeDpEQBYEoVSe3O4DJdvykxeFXMbGkxFM6+mR53GtVsujR48KDbbp6emP21QoqFKlii6wenp66gLs2rVrOXLkCH/++SedO3cuUh9lMhnVnCsi16aRIrcgdt9SpIxUTF0aorB2QKOMJ+XqUdSxd7F7dThyE3O0qlSit3yDNl2JTcvepIWF6LVpbFcJ06r19T5zdbAocnKM2NhYFi9ezJIlS1Aqlbzzzjt8/vnnBtl3LZQdEZAFQSiVJ7f7QMm2/ORFo5XYdzECz8zreQbaqKgoMjMfDxcbGxtTtWpVXbBt3rw5Li4uem+2zs7O+ZZi7N27N927d6dv374EBAQU+U3SxcWFhKRw0u09sKzfFuXFAySf+wttWjJyE3NMKrlh1+Fd3cI2bVoymqRHACQcXZerPcuGHfUCshyJdm6FJ+SIiorihx9+YOXKlWi1WkaMGMH48eMNmjBEKDsiIAuCUGJKlTrXdh/I2vJjUc8HTXIsqdcDC93yU5D7Sg39Bg3BVIEuqNaoUQMfH59cw8gVK1Ys1SphExMTtm/fTocOHejatStBQUHUqFGj0OtcXFyIvX4UTasGWDZoj2WD9gWeb1TBWW9VeWG0yNgw9QOq3H+Hd999Vy+NJsB///3H3LlzWbduHebm5owbN46xY8dSsWLFIt9DePZEQBYEocTuxKbk2u4DxdvyUxiZTEbghRu0rufyVFYCW1tb89dff9GmTRu6dOnCiRMnCi1LWK1aNf7++286DnEk6FZssfdgF0Qhl+FZ0QSz+jUYPXo0M2bMYPz48YwcOZLbt28ze/Zs/P39cXR0ZMaMGYwaNUpk1XpOiQ1ngiCUWFG34VjU8ybj/s08tzcVhbml9VPdluPs7My+ffuIjY2le/fupKbmHgXIycXFhQcPHjC9Rz2M5DJyJwotOSO5jCVvt8Hf35/r16/TrVs3Jk2ahL29PY0aNeL48eMsXryY8PBwvvjiCxGMn2MiIAuCUGJF3YaT15afsriPIbm7u/PXX39x8eJFBg4ciFqdf5YsFxcXMDLlVuR9fKtA1ppow+jlkoGLvQWSJBEZGUl4eDgajQZLS0uMjY2Jj4/nzp07JCYmGuyewrMhArIgCCVWw8FSL/RoUhJynZPXlp9ikSR2bVxFSEhIgUGxLHh5ebFt2zb++usvRo0axZPF8W5GJzNt9xWmnQaXz7by/rb/2BdRuuQdOVWLPcu8Ub0ZPXo0rVq1ws/Pj4SEBLZt20ZMTAyRkZF8/PHHrFixgho1soa079y5Y7D7C0+XKL8oCEKptJ93hDv/X9j1cPt3BW75sWnRCwB14kOUlw8DkPZfCBn3bmDbdggARrZOWDV8Vde+cXo8934eQWpqKtbW1vj4+OjKDb7yyisYGZX9Uph169bx7rvvMnXqVKZNm6ZXzerJLV9PkiSpWMPtCrkMI7mMqd3rowkN4NNPPyUuLo7q1auzYsUKXnvttVztxcfHs2zZMhYtWkRiYiKDBw9m0qRJ1KtXr8TPLBhOUWOoCMiCIJTKtN1X2HDqDhqtRMrVYygvHiDjUbjelh/rZj30clmn37lI9OYpebZn6tKQSoNnA1nBaWjL6kzp4s6ZM2c4evQoR48eJTAwkNTUVKysrHIFaGPjwtNYlsT333/PlClTGDnvVw4nOqLWSsVavFVYYM4O7G1q2dNYdYWVP8zi9u3bdO3alSpVqrB69WpGjx7Njz/+mO+2LaVSyapVq5g/fz7379+nT58+TJkyhaZNmxb7eQXDEQFZEISn4mZ0Mp0WHS+z9g+Oa5crU1dmZmauAJ2SkqIXoNu3b0+zZs0MFqAlSaLL+EXcMK1DdlYuQ5CRlfTDu6YdsrAA1v74PQ8ePKBfv35MnjyZJk2aAPDzzz8zatQo+vbty6+//oqpaf6ZvVQqFevXr2fOnDncunWLrl278uWXX+Lt7W2QPgvFIwKyIAhPzdDVp8pku0+bWg5FymWdHaCPHTvG0aNHCQgIICUlBUtLS7036NIE6Hn+B5k2bVqhlaySz+8j5cpRMmPvolUpUVg5YObqSQXvQRhVcNadN7pDbbp5VsZWnsHqlT+xePFikpKSePvtt/niiy+oU6dOrj7s2LGDt956C29vb3bu3Fno72O1Ws3vv//OrFmzuHr1Ku3atePLL7+kU6dOopjEUyQCsiAIT01kXCp+C4+hKmU1opxMjeQcHNe+RNWeMjMzOXv2rN4btFKpxNLSEm9vb12Abt68eZECdGRcKq1Gzyfu1B+YVq2nV8lKdfeKXiWr2H9+QspUYVKxOnIzK9SJ0SRf+Ae0Wiq/twQj66w9zSYKGX6qYH5dvhCtVssHH3zA+PHjcXUteOHbsWPH6NmzJ25ubvz11184OzsXeD5kpRjdvXs3M2fO5PTp0zRv3pwpU6aIcotPiQjIgiA8Vf4hEUzacclg7c3p7WmweshqtVovQAcEBKBUKrGwsMgVoE1MTHJdn98IgKTVcH/dp0jqTKp+uCLf+6sehPFg3adUaP8Otq376a5V373CsBpKPvnkE5ycnIr8PBcuXKBLly5YWlqyf/9+atWqVaTrJEni4MGDzJw5k2PHjtGgQQMmT57MwIEDn8riuJdVUWOo+GokCIJBDPRyZULn3MOsJTGxc12DBWMAIyMjWrRoweeff85ff/1FfHw8//77L9OmTcPY2JjZs2fj7e2NnZ0dnTt3ZubMmZw4cYKMjAxdNau8huOzK1lpVcqC72+bFWxz7sOWyRUYuzbi3U8mFSsYAzRu3JigoCBkMhlt2rTh/PnzRbpOJpPRqVMn3ahBjRo1GDp0KHXq1GHlypV6RTiEp0+8IQuCYFCb/41g8razIJNDIfV9c8re7jOjp4dBg3FRqNVqzp07pzcHnZSUhLm5Oe4Dp5Dk3ATp/4u4nqxkFX9kDRb121Kx50S9NjVpSaDVok56ROKJzaSF/YvTgG8xr/l4xXP2KvL8qlkV5uHDh3Tr1o2bN2/yxx9/0KFDh2K3cf78eWbNmsW2bduoVKkSEyZM4MMPP8TKyqpEfRJyE0PWgiA8E1u2bGHwh2PpOOkXrifKkCOhLWhFsqQFmZy2bo7M6uVZojljQ1Or1Zw/f56jR4/y870qZJja6o7F7luau5JV149RmOkHsDvzeukKasjNbbD1HoRN8x657lXdwYJjE3xL3Nfk5GR69+7N8ePH2bRpE3369ClROzdu3GD27Nls3LgRW1tbPvnkE8aMGYOdXeG1q4WCiYAsCMJTp1KpaNCgAfXr1+fjjz+mx+APGPXDJs4/zCQiNlUvw7MMsJapeHDuMAdXfEOj6sUbtn0alCo1ntP+0et3Zmwk6uRYXSUrFEY4vPYRCkv9wJV+5yKSOoPM2EhSrhzFop6Pbv44JxlwedprRa51nJeMjAzeeecdfv/9d3766SdGjhxZ4rbu3LnDvHnz+OWXXzAxMeGjjz5i3LhxRVo8JuRNBGRBEJ66RYsWMX78eC5dusTWrVtZvHgxMTExyGQyUlRqwmNTyFBrMTGSU8PBkgd37+Dm5oa/vz8DBgx41t3P5cq9RF5fEljgOdH+X6NVKQusZJUZf5/7q0dTwfddbJrlfkve+7EPHlVs87iy6LRaLZ9++ilLlixh2rRpfPPNN6Xa2vTgwQMWLlzITz/9hFqt5v3332fixImFrgIXchOLugRBeKri4+OZMWMG77//Pg0aNODkyZO0atVKFxQsTY3wqGJLU1c7PKrYYmlqRO3atWnRogWbN29+xr3PW1GqWRWlkpWxXWVMnGuRcuVoie9TGLlczo8//sjMmTOZNm0ao0ePRqPRlLi9SpUqMWfOHCIiIpg8eTKbNm2idu3avPfee9y4caPU/RVyEwFZEASDmDVrFhkZGUyfPh2tVqsLyIUZNGgQf//9NwkJCWXfyWIqSpGpolay0mZmIKnyLuMYH/soV+GKkpDJZEyZMoVVq1axcuVKBgwYUOqV03Z2dnzzzTfcuXOH2bNns2/fPurXr8+AAQOKvLpbKBoRkAVBKLXw8HAWL17M559/TqVKlQgNDSUhIYHWrVsXem3//v3JzMxk586dT6GnRSdJEj/Nma4LlEWpZCVpNWjSc2+BUt27QeajcEwqueV5H7+WjalUqRKvv/46U6dO5c8//+TBgwcl7vv777/Pjh072Lt3L127djVIaUYrKyvGjx/PrVu3+Omnn/j3339p2rQp3bt3JygoqNTtC2IOWRAEA3jrrbc4evQoN2/exNLSknXr1vHee+8RHx+PrW3hc6O+vr4YGxuzf//+p9Dbopk7dy5ffPEFLh+tRm7jXKRKVtp0JXeXDcOifltMHF2RGZuR+Sgc5aWDyBQmVHp7Psb2VfXuU83WhC880gkJCeH06dOEhIQQExMDQNWqVWnevLneH0dHxyI/Q0BAAD169KBmzZr8/fffVKpUyWA/H7VazebNm/n++++5du0aHTp0YMqUKfj5+Ym0nE8Qi7oEQXgqTp8+jZeXF6tWreL9998HYMSIEZw4cYLLly8XqY3swgn37t0rF6t5N27cyNChQ6lRowaqhj0x8+xM8pXCK1lJmkzij6wl/c5F1EkPkTIzUFjZY16jCbZtBujlsoasbF020ef5qmtdevXqhYmJCZIkERkZqQvOp0+f5vTp07oh/Ro1augF6GbNmlGhQoV8n+XSpUu89tprmJub888//+DmlvstvTS0Wi27du1i1qxZnDlzBi8vL6ZMmULPnj1FWs7/EwFZEIQyJ0kSvr6+xMTEcOHCBV1ZwMaNG+Pl5cUvv/xSpHZiY2OpVKkSCxcuZMyYMWXZ5UIdPHiQrl274ubmRlhYGGt37OOroLLLYFXl3C8E/7MLZ2dnhg8fzocffkj16tX1zpEkiVu3bumCc0hICGfOnEGpzBoed3d31wvSTZs2xdr6cYWs8PBwXnvtNRISEvj777955ZVXDP4ckiSxf/9+Zs2axfHjx/Hw8GDy5MkMGDDgpU/LKQKyIAhlbs+ePfTs2ZO//vqLrl27AlmJKipUqMDPP//M8OHDi9xW9+7dSUhIIDCw4G1GZen8+fO0a9cOFxcXrl69yooVK+jYsSPd5v2FqkJ1ZHLDBZac1ayuXLnCihUr+PXXX0lOTqZbt26MGjWKLl265Fv7WKvVEhoaqgvSp0+f5uzZs6SlpSGTyahXrx5eXl66IF2lShX69evH9evX2bVrF6+++qrBnuVJgYGBzJo1i7///ptatWrxxRdf8M477xRYMrKk8tpOV5o93WVBBGRBEMqUWq3G09OTqlWrcuDAAd284eHDh+nYsSOXL1/Gw6PoKSGzh4nv3LnzTPa63rlzh1atWmFjY8OtW7cYMWIETZs25ZNPPsG5VgPkPaaSqZHAQPOjeVWzSklJYfPmzSxfvpyzZ89So0YNPvzwQ4YPH16kfNdqtZpr167pBenz58+TkZGBQqGgXr16JCQkEB0dzbfffsu4cePKJEhmO3v2LN9//z3bt2+ncuXKurSclpaWpWr3ZnQyv52K4MiNh0TE5U4442pvgW9dJwa3dMXd2Tq/Zp4aEZAFQShTK1as4KOPPuLMmTM0bfo4P/OsWbOYM2cO8fHxxZpDTE5OxsnJienTp/P555+XRZfzFRcXh7e3N0qlkpSUFDw9PbGzs+OPP/5g+PDhzJo1i24fzySmVmeD3bOgalaSJBESEsLy5cvx9/dHo9HQp08fRo4cSbt27Yq1aCojI4PLly/rAvS///7LxYsXkSQJuVxO06ZNdW/RXl5eNGjQoMQ1o/Nz7do15syZw8aNG6lQoQKffvopY8aMKXDuOy+RcalM2XmJgLAYFHJZgfW3s4+Xh5SsIiALglBmkpOTcXNzo0uXLqxfv17vWM+ePUlPTy/Riun+/ftz8+ZNzp07Z6iuFiotLY1OnTpx9epV7O3tSUtLQ6PRoFarWbVqFV26dKFnz54EBwczcskutoWqSn3PiZ3rMtq3aIur4uLiWL9+PStWrCA0NJQGDRowcuRI3n777SKtYM9Lamoqw4cPx9/fn8aNG+verLVaLWZmZjRp0kRvTrpevXr5Dp0XR3h4OPPmzWP16tWYmJgwevRoxo0bV6S3f/+QCKbuvoJaKxUYiJ+UXbRkek8PBj7loiXZRKYuQRDKzLx580hKSuK7777T+1ySJIKDg4uUECQvgwYN4vz581y/ft0Q3SyURqNhyJAhnDlzhjp16hAZGcm9e/do0qQJly5dokuXLrzxxhsEBQWxd+9e5r/rx+zenpgayVEU87enQi7D1EjOnN6eRQ7GAPb29owbN47r169z6NAhGjRowGeffUaVKlX44IMPOHv2bDGfGiwsLNi0aROzZ8/mwoULeHt7Ex8fT2BgILNnz6Z27docOHCAYcOG0bBhQ2xtbWnXrh2fffYZmzZtIjQ0FK22+NnFatSowbJly7h9+zYjR45k6dKlVK9enbFjxxIZGZnvdUuP3GTSjkuo1NpiBWMAjVZCpdYyaccllh65Wew+P03iDVkQhGKJiorC3d2dTz75hO+//17v2H///Yebmxt79+6lW7duxW47PT0dZ2dnxo0bx7Rp0wzU47xJksTHH3/M8uXLad++PUeOHMHExIT58+czZswYVCoVb775JsePH2fv3r34+j6uyBQZl8q7y/cTpjRG0mqQFVBmsiyGTu/fv88vv/zCzz//zN27d/Hy8mLUqFEMGDAAC4vitb927Vo++OADevbsyaZNmzAzM9MdS0xM5Ny5c3qru2/dugWArYMTDVv7Uq9BQxo2qEfn1k2p716rWMPpcXFxLFmyhB9//BGlUsnQoUOZNGkS7u7uunP8QyL43P9fkk7tQHXvBhn3Q9GmK3Ho9ilWjfxytZlyLYCkkF1kxt5FJpNjXLE6Ni37YOHmBRQ8VVBWxJC1IAhlYvjw4ezevZuwsLBcQ6a//fYbQ4YMISYmBgcHhxK1P2zYMIKDg7l+/XqZJpiYM2cOkyZN4pVXXuHs2bNUrVqVf/75Bw8PD1QqFb179+bw4cP8+eefdOzYMdf1nTt35mzYPbS1vXFu8iqpCkv9/koSKB8xrHMLhrRyxc3J8IuL1Go1e/fuZcWKFfzzzz/Y2toybNgwRo4cSd26dYvczp49e+jfvz8tWrTgjz/+yHdu92Z0MquPh3Lo2gMepUmQo6ymJElISQ9xUD3Au5KEn5cHzZs3p2rVqoX+e0xOTmblypUsWLCAhw8f0q9fP6ZMmYJdNTf8Fh4jJeY+USuGo7CpiFGFSqgiLuUZkJNO7yH+4ErMa3th7uaFpM5EeekgmQ9vU7HXFCzqtslzMV1ZEwFZEASDu3jxIk2aNGHx4sV57hf++OOP2b9/f6mKD/zzzz906dKFM2fOlMl+WXi8ortSpUo8ePCARo0acerUKczMzFCpVPTt25cDBw6wZ88eOnXqlOv6iIgIqlevjpmZGSYmJlhbW9OjV1/GTJ6u235z9dQx+vd+g//++49atWqVyXPkdOvWLVauXMmaNWuIiYnh1VdfZdSoUbzxxhtFWqR14sQJunfvjqurK/v27aNy5cq6Y8VZTJVd3zrt9lni9i3DwQzdgrHsOen8kr+kp6ezdu1a5syZw507d/AYvZxUGxc0mZlo05UorOxQ3b/Jg/Xj8gzIUSs/RG5mqVd5S6tK5e6ydzBzbYRT36/1tps9LWIOWRAEg/v8889xc3NjxIgReR4vzfxxto4dO1KxYsUyqwB18OBB3nnnHYyNjXn48CGenp6EhIRgZmZGRkYG/fv358CBA/zxxx95BmOADRs2YGZmRnp6OvXr1ycqKoq3+vfRq2bV+dX2KBQKDh06VCbP8aRatWoxZ84c7t69y8aNG1GpVPTr1w9XV1e+/vrrAudoAby9vQkMDCQ2NpY2bdpw82bWfKt/SAR+C48RdCsWoPA5XFlWWLGq9Qo1PvqFDsOnoNFoWLJkCd27d6dSpUq4uLjQq1cvZs6cyf79+4mNzWrbzMyMUaNGcfPmTeb9vBGltQtaCWRGxiis7Aq6KwDajFQUFhX03sjlphbIjc2QGZvo+h8QFkPYw+RC23vaREAWBKFIDhw4wD///MPs2bPzfONKTU3lwoULRSooURAjIyP69evH77//XqKFQwUJCAiga9euaLVaLCwsqFq1KocOHcLExITMzEwGDhzIvn372LlzJ6+99lqebUiSxLp163TznBUqVKBy5cp4e3vrnWdra4uXlxcHDx406DMUxtTUlMGDBxMYGMjFixfp3bs3P/74IzVq1OCNN95g3759+f5cPTw8CAoKwtTUFG9vbyZvPFryxVQSZEoyTmpr8/rni3n06BHh4eFs3bqVwYMHk5yczLx583jttddwdHSkVq1a9O/fn7lz5xIQEECsXX0U8uJNWZi5epJ26wxJp/egTogmMzaS2P3L0apSsWneU3eeQi5j48mIYrX9NIgha0EQCqXRaGjWrBlWVlYEBATkOScYGBhI27ZtOXfuHE2aNCnV/QICAmjXrh0BAQH4+PiUqq1s/v7+DB48GMhK7Xnz5k2CgoLw9PQkMzOTQYMGsXv3bnbs2EH37t3zbSf7OatXr86dO3eoXLky/fr148cff8x17tdff82KFSuIjo5+pnmdk5OT2bRpE8uXL+fChQvUqlWLESNG8O6771KxYsVc58fExPDqB1/xyLYuKZcOkR5xCXViNHJzG0yr1KVCu6G6IhmSpCXl0mFSQ4PIiL6FNj0ZI1tnLOq3w7Zlb2RGWW+meS2m0mq1upSg2Xm7z549i1KppMqInzG2q5KrbwUNWWtSEojZPY/0Oxd0n8nNbXDq+zWmVevrnVvdwYJjE3x5GsSQtSAIBrNx40YuXLjA/Pnz812gExwcjIWFBQ0bNiz1/by9valWrZpBhq0zMjL45JNPGDRoECYmJrz77rucP3+e3377DU9PT9RqNYMHD2b37t1s3769wGAMsG7dOlxdXYmMjMTZ2Zn79+/Tv3//PM/t2LEjMTExXLx4sdTPURrW1taMGDGCc+fOERQUhLe3N9988w3VqlXTvU3nfDdLk1ugavgGScHbSL0RhFn1xtj5fYhV49dIj7zM/bWfkPEoHMiqBx371yI0qYlYN+2KXccPMKlch8TATURvmapr95vdV4iM068HLZfLcXNzY+DAgSxYsIBjx46RkJDA6QuXMbarTHHJjE0xcqiGZcOOOL45CYdun6CwsufRjllkxt/TOzciNpUUlbrY9yhLIiALglCg1NRUvvzyS/r161fg/PDJkyfx8vIySCEBuVzOwIED2bp1K2p1yX9pXrt2jRYtWrBkyRIsLCz49ttvWb16Nd9//z09e/ZErVYzZMgQdu7cydatW+nRo0eB7aWkpPD777/TunVrtFotFStWpGrVqvkO07du3Rpzc/OnNo9cGJlMRuvWrfn111+Jiopi1qxZ/Pvvv7Rt25ZGjRrx008/kZSUxJSdl1BrJaxb9KLqR2uw7zQC68avUcF7IJUGz0HSakg6uS2rTYURzkPmUfntBdi2GYB1ky44vv4ptt6DUEVc0r2tqrUSU3ZeKrSPCoUCM8dq5FzBXVSPds1Gk/gQx+7jsKzng1WjTji/9T2SRk3CsQ1650pAeGxKse9RlkRAFgShQIsWLeLhw4e59hznlJ0QpLTzxzkNGjSIR48ecfjw4WJfK0kSy5Yt45VXXuG///7DxMSEJUuW8PXXXzNkyBA+//xzNBoN77zzDtu2beP333/njTfeKLTdHTt2oFQqSUxMBLL2A/fr1y/f4WhTU1Patm371OeRi8LBwYHx48dz48YN9u/fj7u7O2PHjsXFw4uAsBg0WgmzavWRKfTXCxjbV8XE0ZXMmKxFYjKFMWbV6udq36JO1t+F7POKs5gqQ138tQOZCQ9Iv3UGc3f91dMKc2tMqzVAFXXVIPcpSyIgC4KQr4cPHzJ79mxGjx5N7dq18z0vMjKS+/fvl3qFdU5NmzalTp06xR62fvDgAa+//jpjxozB3d2dlJQUVqxYwVdffUXjxo1ZtWoVWq2WYcOG8fvvv+Pv70/v3r2L1PbatWtp3749J0+eRKFQEBsbm+9wdTY/Pz+OHz9ORkZGsZ7jaZHL5XTq1IkdO3Zw584d2rzzBZJWk+/5kiShSU1AblHweiJNSjwAihznFXUxlYlR8UOT9v/3Q8odZCWtOs9nKsl9ylL56o0gCOXK9OnTkcvlfPXVVwWed/LkSQCDBmSZTMbAgQPZsWMH6elFq0f8xx9/4OnpydmzZ3n33Xe5dOkSixcvZtmyZSgUCnbt2oWxsTHvvfcemzZt4rfffqNv375Fajs8PJwjR47QuXNnEhISsLe3x8XFhZYtC97P2rFjR1JTU3U/o/KsatWqpNrWLDDzWMqVo2iSY7Gs17bAtpJObUdmaoF5rWa6zzRaiSOhDwvtRw0Hy2IPWBvZVQGZnJRrAXrz4eqkGFR3r2LirP+FUvb/+5QnIiALgpCnGzdusHLlSr788stCs26dPHmSmjVr5pvwoaQGDRpEUlISf//9d4HnKZVKPvjgA958803dgqW1a9fy1VdfceLECa5cucIff/yBk5MT77//Phs3bmTjxo0MGDCgyH1Zv349VlZWujfdtLS0AoerszVp0gR7e/tyM49cEKVKTcQTC69yyoyNJO7Ackyr1sPSM3f2smyJQVtIDz+PXfthyM2s9I4VZTGVpakRrk9k0ko6s4eEE/4oLx4AIC3sXxJO+JNwwh9tegoKC1usGvmhirhE9OYvSTqzh8TgLTzYMAEpU4Vtq3567bk6WJS7usnlqzeCIJQbkyZNolq1anz88ceFnmuIhCB5qVevHk2aNGHz5s306tUrz3NOnTrFkCFDuHfvHj///DPVq1fn9ddf591338XU1BR/f3+2bNlCkyZN+PDDD/n111/59ddfGTRoUJH7odVqWb9+Pf369eOPP/4Asr4EFDZcDVlDwq+++ioHDx5k+vTpRb7ns3AnNoX89sFqlPE83Doduakljm9OzvctOuXacRKOb8CqUWesX8mdzzx7MZVHlYIrVfnWdWLDqTu6/c9Jp3aiSXr8dp0aGgShQQBYefgiN7PE/rXRGDvVRHnhAAnHfgXApJI7jt0/w8z18ep/hVyGb53CK0w9bSIgC4KQS0BAALt27eK3337TKzaQF5VKxdmzZ4sV4Ipj0KBBTJs2jeTkZKytH+eDVqvVzJo1ixkzZtCsWTP++usvUlJSaNeuHX5+fnTt2pX+/fszbdo0+vTpw6hRo1izZg3r16/X7UcuquPHj3P79m1++ukn1q9fj7GxMZUrV6ZFixZFut7Pz4/Ro0eTlJRUrnM55LfISZueQvSWqWjTU3AeMgcj67xHTNJunyPmzx8wr90c+y6ji32fnAa3dGVdcLjun6t9tKbQa2RyBTbNemDTrODV8hqtxJBWz6YUY0HEkLUgCHokSWLChAk0a9aMgQMHFnr++fPnycjIMOgK65wGDBhAWloau3fv1n3233//0a5dO6ZPn86XX35JYGAgxsbGdO3alTp16vDNN9/w7rvv0rdvX7766ivGjBnDqlWrWLNmDUOHDi12H9atW0ft2rVJSUlBq9Uik8no379/kYtfdOzYEY1Gw/Hjx4t976cpr0VOkjqDh9tmoI6PwqnfN5g45h3IVPdu8GjHTEwrueP45qQC56GLspjK3dmatm6Oxc7WVRiFXEZbN8cyKfZRWiIgC4KgZ8uWLfz777/Mnz+/SNmlgoODMTU1pXHjxmXSn+rVq9OmTRs2b96MJEmsXbuWJk2aEB0dTWBgINOnTyc5OZmuXbtiYWHBunXrGDhwIHXq1GHt2rV88sknLF++nF9++YVhw4YV+/7Jycls3bqVYcOGsWvXLgBdzuuiql27NtWrVy/388hPLqaStBoe7ZqD6t51Kr45KVe2q2yZMZE83DodI1snKvabitzYNN97FGcx1axenhgZOCAbyWXM6uVp0DYNRQxZC4Kgo1KpmDx5Mj169KBDhw5FuubkyZM0a9YMExOTMuvXoEGDGDduHD169GDv3r28++67/Pjjj1hbW5OWlkbPnj2JiYnh6NGjjBgxApVKxa5du/jyyy9ZtmwZP//8M++9916J7r1t2zbS0tIYOnQoTZs2BcDFxYXmzZsXuQ2ZTEbHjh3L5X7knLIXU935/8Ku+MOrSQs7hblbCzRpSpSXj+idb9XQF60qlegt36BNV2LTsjdpYSF65xjbVdIL5MVZTOVib8H0nh5M2lF4QpGimtHT46mWXiwOEZAFQdBZtmwZERER7N27t8jXnDx5sshbh0qqYsWKqNVqjhw5wrZt2+jTpw+QlWN78ODBnD17lsOHD7NgwQJOnz7NkSNHWLhwIYsXL2bFihV88MEHJb732rVr6dixIwkJCcTHxyOXyxk0aFCxazX7+fmxZs0aHjx4QKVKlUrcn7KWczFVRvQtIGtFc1rYv7nOtWroizYtGU3SIwASjq7LdY5lw466gFySxVQDvVyJUaqYvz+0mE+S28TOdXPl0y5PREAWBAGA+Ph4vvvuO95//33q1897aPJJ9+/f586dO2WywhqythZNnjyZH3/8EXt7e+rVq6cLxpIk8cknn/DHH3+wa9cugoKCWLt2LevXr2f79u0sWrSIZcuW5VsqsijCwsIICAhg48aN/PXXX8hkMrRabbGGq7O9+uqrABw+fJi33nqrxH0qazkXU1UaPLvQ840qOFN90p9Faruki6nG+LrjaGXK1N1XUGulYlWeUshlGMllzOjpUa6DMYg5ZEEQ/m/mzJlkZGQwbdq0Il9TFglBsl24cAEvLy9WrFjBokWLmDNnDsHBwdy7l1UkYO7cuSxbtozly5ejUCiYOHEin3/+OVeuXGHBggUsWbKEjz76qFR9+PXXX7GxsaFXr17s3LkTSZJwdnbmlVdeKXZbzs7OeHp6lvt55PK6mGqglysHx7WnTS0HXXuF3Q+gTS0HDo5rX+6DMYg3ZEEQgNu3b7NkyRK++uqrYg2nnjx5kqpVq1KtWjWD9UWr1bJw4UKmTJlCvXr1OH36NA0bNiQhIYHRo0ezZcsWHBwcmDRpEl9//TU+Pj60bt2abt26IZPJmDNnDosWLWLMmDGl7sf69esZMGAAKpWKM2fOAPDWW28Ve7g6W8eOHdm+fTuSJJW4jadhVi9P/BYeK3YN5IIYYjGVi70FG4a35GZ0Mr+diuBI6EMiYlP19k7LyJqn9q3jxJBWruVyNXV+RD1kQRAYNGgQx44d4+bNm1haFj2dYPv27XFycmLr1q0G6UdkZCTvvPMOR44cYcKECXz33XeYmj5esfvmm29y48YNwsLCGDp0KHPnzqVVq1aYmZnRrVs35s2bx4IFC/jss89K3ZdDhw7h5+dHUFAQkZGRuqxeZ8+e1S3uKq69e/fSvXt3QkNDcXd3L3Ufy5J/SIRBF1PlVQ/ZEFJUasJjU8hQazExklPDwbLcZeAS9ZAFQSiSkJAQ/P39+fbbb4sVjDMzMwkJCTHYcPXvv/9Oo0aNCA0N5dChQ8ybN08vGENWOcPr16/Tpk0bli5dSv/+/UlISKBjx47MmzePuXPnGiQYQ9Zirjp16tCqVSv27t2LTCbD3t6eJk2alLjNdu3aYWRkVO6HrSFriHhC5zoGaassF1NZmhrhUcWWpq52eFSxLXfBuDhEQBYKlKJSc+VeIuci4rlyL7HcFfQWSic7CUjDhg2LvUf30qVLpKWllTogJyYm8vbbbzNw4EA6d+7MpUuXdAugcgoPD+eHH35ALpfToUMHJkyYQEBAAD179mTx4sXMnj2biRMnlqovOfu0Y8cOhg0bhiRJ/Pnnn0iSxOuvv16qoWZra2tatmxZ7rc/ZRvj687s3p6YGsmLPaeskMswNZIzp7cno33dyqiHL5bn96uEUGZ08zM3HhIRl8f8jL0FvnWdGNzSFXfn52d+Rsht9+7dHD9+nL///huFIv/MSnk5efIkxsbGJVrglC0gIIChQ4cSHx/PL+s20MqvB+HJWu6lJeoNPcbGxtKlSxesrKzw9vbml19+4d69e7z55pusXbuWmTNn8sUXX5S4H0/asmULKpWKt99+m3PnzhEXFwfA2LFjS922n58fS5YsQaPRFPtn/iwM9HLFu7YjU3ZeIiAsBoVcVuDccvbxNrUcmNXLs9zu+S2PxByyoBMZl1rs/+jaujmK/+ieU5mZmXh6euLi4sL+/fuL/eY3dOhQbty4wb//5t6fWpjs1dzzV/1GnW7vYVOvNfeTMvP88tfWzZ79P33D7fNBBAUF8fvvv/P111/TuHFjLly4wIwZM/j666+L3YeCeHt7Y21tzb59+/j222+ZOnUq5ubmKJXKUi/GCggIoF27dpw+fZpmzZoVfkE58qIupiprRY2h4g1ZALIWcGTv8QMKXV2ZfTzoVix+C48xvacHA5+DbQXCY7/88guhoaH4+/uXKMicPHmSrl27Fvu669evM+j9Mdx36UCV938iTS5DmZSZ6zwJuBOXyp1TSmj+Ia27juZ+ciYLFixALpdz4cIFpk6davBgfOPGDYKCgvD39wfQDVf7+PgYZGV0y5YtsbS05NChQ89dQHZ3tmZaTw+m4fFcLKZ63og3ZIGlR24aJAvOhM51GONbvleOClmSkpJwd3ena9eurFu3rtjXx8TEULFiRTZt2lTkKk+SJLFixQq+XLMXG9/3kRsZU5xdNQoZaNSZqII28ODEDipUqEBsbGyR8m0Xx5QpU1i+fDn3799HqVTi5OSEJEns2LEj3xKQxdWtWzfUajX79+83SHtC+SbekIUi8Q+JYP7+ULQZaSSd2oHq3g0y7oeiTVfi0O1TrBr56c6VJC0plw6TGhpERvQttOnJGNk6Y1G/HbYtezN/fygVrUyfiw34L7u5c+eSlJTEd999V6Lri5sQJDo6muHDhxMQZ4md3yiAYgVjAI0EktwI07bv0bbhKwSs/IrTp08XuQRike6h0ehqJZuZmbFjxw4kSUIul/PGG28Y7D5+fn589dVXpKenF1reUnh5iFXWL7HIuFSm7r4CgDY1icQTm8mMjcTYqWae50uZKmL/WoQmNRHrpl2x6/gBJpXrkBi4iegtU5EkiW92XyHy/4nphfIpKiqKH374gXHjxpU4ocfJkydxcnKiRo0ahZ67Z88ePD09OZtohl37t/M8JzMuikd/zOHusneImN+HqJ9HkhC4GW1mut552UPGEXZNqNK2L5s3by5R//Nz8OBBoqKidCvO9+zZA4CHh4dB38Q7duxIWloawcHBBmtTeP6JgPwSm7Lzkm7OWGFlT7UxG6j20VrsfPOuiiNTGOE8ZB6V316AbZsBWDfpguPrn2LrPQhVxCXS71xArZWYstNwyQQEw/v666+xsrJi0qRJJW7j5MmTtG7dusA51ZSUFEaOHEnPnj15pW0nrNvn/fdKnfSIB+s/QxV1A+tXumPn9wGmVeuRGPgbMX/My7d90zZD+X3vITQaTYmf40lr166lQYMGeHl5odFodEU2ilIXujg8PT2pWLHic7EfWXh6REB+Sd2MTiYgLEa3OEtmZIzCyq7Aa2QKY8yq5S46YFEnqzB9ZkwkGq1EQFgMYQ+TDd9podQuXLjAunXrmDp1aonXg2g0Gk6dOlXgcHVISAhNmzbl119/ZcWKFTh2G4s6nyHqlMtH0KpScOo3FdvW/XRf9Cwbvkpa2Ck06cq8L5Qr0LzSj4CAgBI9x5OiomP488R5ugwZxdX7SQSeDCE5Oevv8TvvvGOQe2STy+W8+uqrz81+ZOHpEAH5JfXbqQiDJY/XpMQDoLDI+gWvkMvYeDLCIG0LhvX555/j7u7Ohx9+WOI2rl69ilKpzDMgq9VqvvvuO9q0aYOtrS3nzp3j1TffIjDHl78naTOypjgUlhX0PldY2YNMjkye91IXrQTmNV9h1e97SvwsN6OTmbb7Cu3nHcF70Ukchyxge1JNXl8SyDt/xlBlxM9U7j6WVCPDL2b18/MjJCSExMREg7ctPJ9EQH5JHbnx0GCJ45NObUdmaoF5rawtHBqtxJHQhwZpWzCc/fv3s3//fmbPno2xsXGJ2zl58iRyuZzmzZvrfX779m06dOjA1KlT+eKLLwgKCqJu3bqFfvkzc80qOBD712Iyom+hTnpEyrXjJJ/7C+tmPZCb5L/oSYbEkbtqMjIyivUMkXGpDF19ik6LjrPh1B3uxKWStZNWv3VjuyqYePjRadFxhq4+ZdD1ER07dkSr1XL06FGDtSk830RAfgkpVWoiDPSLJTFoC+nh57FrPwy5mZXu84jYVJFmsxzRaDRMnDgRHx8f3nzzzVK1FRwcTKNGjbCyyvr3LUkS69evp3HjxkRFRXHs2DG+++47XdAv7Mufea1m2LYdQnr4ee6vHUvUT+8S88dcrJv1wN7vgwL7IiFDVqVhsYZ+/UMi8Ft4jKBbsUDhe+6RZf2azN5z7x9imNGfmjVrUqtWLTGPLOiIbU8voTuxKRji3Tjl2nESjm/AqlFnrF/ppndMAsJjU/CoYmuAOwml9euvv3Lx4kVOnjxZ6uQWJ0+epH379kBWSsuRI0eybds23nnnHRYvXqw3N13UL39Gts6YunhgUbcNCnMbUv8LISloCwrLCtg061HgtcZ2ldnov5Vu3boVeB6Ubs+9Riuh0UpM2nGJGKXKIHvuO3bsKOaRBR0RkF9CGWptqdtIu32OmD9/wLx2c+y7jC6z+will5qayldffUX//v1p2bJlqdpKSEjg2rVrfPHFFxw8eJB33nmHtLQ0tmzZQr9+/XKdX5QvfylXjxG3bylVPlyJkY0jABZ124AkkXB0HZYN2qMwL2AOVybjr4AQUlNTsbDIP4Wrf0gEs347QGLgJjIehKFJSUBmbIqxgws2LXtj4a7/s8mMiSTu0CpUd68iUxhhXtsLu47vo7CwNdieez8/P1atWkVUVBRVq1YtVVvC808MWb+ETIxK969dde8Gj3bMxLSSO45vTkImzztBfmnvIxjGwoULefToEd9//32p2zp16hQAR48epVOnTtSvX5+LFy/mGYyhaF/Kks/+hYlzLV0wzmbh1gIpU0VG9K1C20hTZeq2KOUle8+9Jukh2ow0LD07Yuf3AbZtsmocP9r+Lcnn9+nOVyfF8OC3L1DH36dC+7exadGbtP9CiPb/CkmTlebTEHvufX19ATh8+HCp2hFeDOI35kuohoNlruUrRZUZE8nDrdMxsnWiYr+pyI1N8zxP9v/7CM9WdHQ0s2fPZsyYMdSqVavU7e3atQu5XM6mTZv44Ycf2L9/f4HJRYrypUyTmoAk5Q7ckvb/+4u1he8zblC3ji73dF6y99yb1/bCecAMKvi8hXWTLth4vYHzW7MwdqpJ0r+7dOcnBm9BylThPGgmNs17YtumP45vTiLz4W2Ul7LmfA2x575ixYo0adJEDFsLgBiyfilZmhrham/x/5WljyWd2YM2PQWNMqvUXFrYv6iTYwCy5vFkMqK3fIM2XYlNy96khYXoXW9sVwnTqln7lF0dLESi+XJg+vTpGBkZ8dVXX5WqHa1Wy6JFi1i5ciWWlpYEBQXh6elZ6HXZX/4KGrY2tqtCWvg5MuOiMLZ/PGybcvUYyOQYV6xR4D0kSeJe6AUuPohi4cKFdOjQAU9PT4yMsv7+Ze+5z49MrsDI2hHVg5u6z1JvBGHu5oWRrZPuM/MaTTCyr0rqtQCsm3TR23NfmspGHTt2xN/fH0mSDFK8Qnh+id+YLynfuk5sOHVHb4Vp0qmdaJIeb1dKDQ2C0CAArDyyhtY0SY8ASDi6Lleblg07Ylq1PjJJi1cVUY7xWbt+/To///wzs2fPxt7evsTt3L17l2HDhnHo0CFMTU0ZN25ckYIx5P/lLyebln1Iu3WGBxu/wLrZ61mLusL+Jf3WGawad8bI2qHAeziYaPB4tT0bN25kwoQJaLVazM3NadasGS1atOBB1bYoZMZocnwr0GakI6lVaFWppN08RdqtM1jUbwuAOjkGbWoCJpXcct3LtHId0v47rfvn7D3303p6FOnnkRc/Pz8WLFjAjRs3qFevXonbEZ5/IiC/pAa3dGVdcLjeZ9U+WlPoddUn/VnoOZJMzvLxg8g42Z1JkyZRpUqVknZTKKEUlZqxU+dSrbEPHfu+Q4pKXaIRi61btzJixAjMzc1ZvXo1w4cPp23btsVqI68vfzmZuTak0tB5JARuQnn2LzRpyRhVcKZCu7exadWnwLYVchk9m7sxbcYGIiIiMDExYdq0aZw6dYpTp06xY8cOMl6rh7Gd/t/B+MO/oMyeM5bJsajTGvvOWUUvNMr/J7qxyv0lRmFlhzY9GUmdiczIWLfnfholD8ht27bF2NiYQ4cOiYD8khMB+SXl7mxNWzdHgm7FGixBCGT9gmzhakvDMcOZP38+q1atYuTIkXzxxRdUqlTJYPcRctMVj7/xMOuNtFYfqAW9Vv6bVTze3gLfuk4MbumKu3PBQ6xJSUmMHTuW9evX07dvX1auXMnu3buRyWTFrq6U15e/J5lWqYtz/+nFaheytiINaZW10nnQoEGMGTOGTZs24e3tDWRtu/Kc9k+uIXMbrzewqOeDJjmW1OuBWXPY/1+sJalVQFaq2CfJFCa6c2RGWcez99yXdIrG0tKS1q1bc/DgQUaPznvHgvByEIu6XmKzenliZKD0mdmM5DLm9mvKl19+SXh4OJMnT2bt2rXUqlWLiRMn8ujRI4PeT8gv65Q+CbgTl8qGU3cKzToVGBhI48aN2bFjB+vXr2fLli3Y29tz8uRJGjRogK1t8faWV7MxwjTu1uNFWgaikMto6+aom7/t27cvMpmMbdu26c7Jb9uVsYML5jWaYOXZEad+U5Ey0nm4bUbWPK5R1kLF7NXUOUmarIxg2efA4z33pdGxY0eOHDli0EIZwvNHBOSXmIu9BdNLMfeVlxk9PXCxz5o/trW15ZtvvuH27dtMmDCBlStXUrNmTSZPnkxsbKxB7/uyKm7WqezjeWWdyszM5KuvvqJ9+/ZUqVKFCxcu8Pbbb+sWGgUHBxe5/rHufhoNb731FlF/LMDESAGS4UZjjOQyZvV6PJft6OhIp06d9EoyFnUvvEU9bzLu30QdF6UrspK9uDEnjTIeuZm17u24uPfJj5+fH4mJiZw5c6ZU7QjPNxGQX3IDvVyZ0LlO6Rr5/y/ZiZ3r5pkowc7OjhkzZnD79m3Gjh3LkiVLqFGjBl9//TXx8fGlu/dLbOmRm0zacQmVWlvsaQeNVkKl1jJpxyWWHrlJaGgobdq0Yc6cOcyYMYNjx45Rs+bjutjJyclcvny5WAFZkiTGjh3L7t272bB8IbKz28CAq4hzfvnLNmjQIAICAoiMjASKvhdeyswaptaqUjCydkRuYUvGg7Bc56nuh2LinLteeGn33Ht5eWFlZSXSaL7kREAWGOPrzuzenpgayYtdAUouA0mdwSvqa4z2zb0qNScHBwdmzZrF7du3+eijj/jhhx+oUaMG06ZNIyEhoRRP8PLxD4lg/v5QtBlpJAT8RvTv3xC5aCB3ZndHeTH3ntbk8/t48NskIhcP4c68N7m7fDgxexehTohm/v5QWg/+jMTERIKCgvjyyy91W4aynT59Gq1WW6yAPGfOHH766SeWLFnCF198wc1966iZbJha2fl9+XvjjTcwMzPj999/B3LvudekJOS6RtKoSbl8GJmRKcaOWW1a1G1DWlgI6qTHUyxp4edRx0VhUc9H73pD7Lk3NjamQ4cOYj/yS04EZAHIelM+OK49bWplbTEpLDBnH/eu7cg7FSPZteBzAgMDi3SvihUrMmfOHG7dusX777/PnDlzqFmzJt999x1JSUmle5CXQHbWKQBtahKJJzaTGRuJsVPuN7dsGdG3MLJ1xrZlbxw6f4SVRwfSbp3m/vpxZCbFYNvxQ/YcDsLLyyvP64ODg7GxsaFBgwZF6uOGDRuYPHkykydPZt68edy8eZMPPviAI0snlfjLn0Iuw9RIzpzenvl++bOxseH111/XJQnJ3naVLXbfUqI3TyEhcBPJF/4h4YQ/99aMISP6Pyq0G4LcxBwA29b9kRmbEr1pCkmn95AYvIWYXbMxrlgDK89Oevc01J77jh07cuLECdLS0krdlvB8kklS4ZM6SUlJ2NrakpiYWOKi5sLzQ7daN/QhEbGpeotiZGT9AvKt48SQVq64OVmj0Who27Ytjx494sKFCwXmE87L/fv3mT17ti7pxMSJExkzZoyumpCgb+jqU7rV8ZI6E226EoWVHar7N3mwfhwO3T7FqpFfoe2oHoTxYN2nVGj/Dvbe/WlTy4ENw/POdd2zZ0/S0tI4cOBAoe0eOHCAbt26MWjQIA4fPkxUVBRjxoxhyZIlunMi41KZsvMSAWExKOSyAofcs4+3dXNkVi/PXMPUT9q+fTt9+/YlNDQUd3d3pu2+ott2lXL1GMqLB8h4FI42LRm5iTkmldywbtYjVy7rjEd3iD/8S1Yua7kR5m5e2L06HIWlnV7fhrasXqp9yNkuX76Mp6cnBw4cwM+v8H9/wvOjqDFUBGShQCkqNeGxKWSotZgYyanhYJnn28CNGzdo0qQJI0aMYNGiRSW61927d/n+++9ZtWoVtra2fP7553z00UdYWooUnNluRifTadHxPI8VNyBr0pK4++Nb2LTqi12HYQAcHNcuV9YpSZJwdnZmxIgRfPvttwW2ee7cOdq1a0fr1q25ePEi0dHRjB8/nvnz5+f7PMX58lcUaWlpODs7M2HCBL755psCf2aGkNfPrCQkSaJy5cq8++67Bsk7LpQfIiALT93ChQv57LPPOHr0qK48X0lEREQwa9YsVq9ejb29PZMmTWLkyJGYm5sbsLfPp5xve08qSkDWpCWBVos66RGJJzaTFvYvTgO+xbxm03zf9v777z/c3NzYu3dvgSUOw8PDad26NZUqVeLu3bvExMQwZcoUZs6cWaRnK+qXv6J4++23CQkJ4erVq8hkMr1RBUNRyGUFjiqUxODBgwkNDSUkJKTwk4XnRlFjqJhDFgxm7Nix+Pj48N5776FUKkvcjqurKytWrODmzZv06NGDiRMnUqtWLZYsWUJ6eroBe/z8OXLjYamCyt2l73B3yRAerB+HKuo6dn4jMK/ZFECXdepJJ0+eBCiwdGNsbCxdunTBzMyM8PBwYmJimD59epGDMWTN93pUsaWpqx0eVWxLNS87aNAgrl+/zsWLFwH47g0PJI2aIrx/FNmT264Mwc/PjzNnzojdBy8pEZAFg1EoFKxdu5b79+8zadKkUrdXo0YNfvnlF27cuMFrr73Gp59+ipubGz/99BMqlcoAPX6+KFVqIkpZ7s+5/3Sc+k3D7tXhGNlURMrU/4KTnXUqp5MnT+Lu7o6DQ945pdPS0ujZsyePHj0iJiaGhIQEZs+ezTfffFOqvpaGn58fDg4ObN68GZVKxaSPP+DRvp8MWrwhr21XpdWxY0ckSeLIkSMGbVd4PoiALBiUm5sbs2fPZtmyZQb7pVK7dm3WrVvHtWvX8PX1ZcyYMbi7u/Pzzz+TkZFhkHvklKJSc+VeIuci4rlyLzFXgHpW8ss6VRxm1RthXrs5Ni164fjmJBJPbCbpzB7dcQm4dj9J7/mD/j1D69at82wvO/HHuXPnSE9PR6lUsnDhQr744otS9rR0jI2N6devH5s3b6Zbt27s3LmTUZ0bEX/sV4O0n9+2q9JydXXF3d1dbH96SYk5ZMHgtFotvr6+REREcPHiRaytS7/gJadr164xY8YMfv/9d6pXr87XX3/N0KFDMTbOnXu4qHLmgY6Iy2NxUTHyQJeVcxHx9FoelO/x4i7qAniwYULWYqK3F+R7jiRJ2BmredPLXe/5JUlizJgxrFixAmNjY1QqFT/99BOjRo0q3oOVkZ07d9K7d28sLS3Zu3cv8+fPJzo6ms+WbWPq7iuotVKxhv8VchlGchkzenqUSTDONmrUKA4fPsyNGzfK7B7C0yXmkIVnRi6Xs3btWh49esTnn39u8Pbr16/P5s2buXjxIs2bN2f48OHUr1+fX3/9FbW6eG+zeeWBfvJXdHHyQJel0maDyos2MwNJVfCzyGQyEtTGuZ4/O/GHQqFApVLxyy+/lJtgHBYWxvjx45HL5bzxxhvUrVuXv//+m2HDhpV4z32bWg4cHNe+TIMxZA23h4aG6rKNCS8PEZCFMlGrVi3mzp3LihUrymz4rWHDhmzdupXz58/j6enJO++8Q4MGDfjtt9+KlKTfkHmgy4pGo+H8+fP8+OOPfDn2wxItSpK0GjTpuRfZqe7dIPNReJ51f/PsS47n951/mJmbj6BQKFCr1WzYsIHhw4cXu29l4ezZs3h7e2NiYsJ7773HoUOHWL9+PQqFgkGDBgFZedw3DG/JgU/bMeCVyqjj78ETX8VkQHUHC4a2rM7Bce3YMLylweeM8+Lr64tMJhNpNF9CYshaKDNarZZOnToRFhbGpUuXyvzvztmzZ5k2bRp79uyhXr16TJs2jX79+iGX5/7eufTITebvDy31PSd0rsMYX/dSt5MtMzOTc+fOcezYMY4fP05gYCAJCQmYmprSsmVLYtuMRYmZ3jVJZ/agTU9Bo4xDee4vLOq0wdi5FgA2zXoAEneXDcOifltMHF2RGZuR+Sgc5aWDyBQmVHp7Psb2VYvVT0mSkMlkxB/7lZ8/6c2AAQMM9SMolYMHD9KrVy88PDz4888/CQ8Px8vLi+rVq9OyZUtdSs2c/vzzT3r06MHFqzeQ2zobZNtVaTVv3px69eqxcePGZ3J/wbDEPmShXAgPD8fT05NBgwbx888/P5V7hoSEMHXqVP7++288PDyYPn06vXr10gVm/5AIJu3InVM549EdEgM3kfEgDE1KAjJjU4wdXLBp2TtXFqec5vT2LPEwpkqlIiQkRBeAT5w4QUpKChYWFrRp04Z27drRvn17WrRogZmZWdY+5JPhaHL8V3v3p/fQJOXergRQdeRqFNb2xB9ZS/qdi6iTHiJlZqCwsse8RhNs2wzAqIJzVl/uh5Jy6RDpEZdQJ0YjN7fBtEpdKrQbWmDALs3zG5K/vz9vv/02fn5+bN26FUtLSyRJonr16kRGRvL3/9q777io6z+A4687jo1MBXHg1gpXKrlXuFduzZ2SmVlpZZq/UrOyMldluQXDlbnnISriVtRS3FtciIKyObi77+8PgkTgBhxw4Of5ePj4/bz7js+l8r7P5/v+vN+7d9OpU6ds540fP54tW7Zw69Ytk2Zh58ekSZP4448/ePDggdmMScg7EZAFs7F48WLGjBmDUqmkY8eOhXbfY8eOMW3aNIKDg6lXrx7Tp0+nQcv2tJ9/EFUO7fKSb4QRd2o71uVfwcLBFSlNRdKVo6juXcC10zhK1c/+wxzAWiFn74TWBi1nJiUlcfz48cwAfPz4cVJSUnB0dKRFixaZAbhBgwZYWVllO78gq0493jwT1b1L2L3SAkv3ymgSnhJ/ZgdSagplh83GqkzlHM8z5vMXlJ9//pnx48czfPhwli5dmiXBr1GjRpw5c4aEhATs7OyyFSDp16kNzd5oyLJly4ps/C8KDg6mQ4cOnD9/Hm9v07ZIFQqfCMiC2ZAkiQ4dOnDp0iXOnz+Ps7Nzod7/8OHDTJs2jf3791Pdbz6a0tXQYtisQ9JqeBgwHkmdRvnRi3I8RlfFpri4OI4ePZoZgMPCwkhLS8PV1TUz+LZq1Yp69ephYWGhdzxnz56lw/fbsatSH8nAz2ColHuXsPasjsziv2CWFnOfB8vHYf9Kc0p3/yzH8wqiYpWhJEniiy++4Mcff2TSpEl8//33WWaUKSkpuLu7k2LlzMCvfuNOqkO2LHpJknCzlujRsGqRZtE/LykpCRcXF3766Sc++uijoh6OkE8iIAtmJSIigtq1a9O3b19WrFhRJGNYvWM//ztifCedqL++RhV5jYof6n6et3dCK1wVaRw+fDgzAJ85cwatVouHhwetW7fODMCvvfZajs+29enQoQO3H8cj6zY1x1l+QXjo/zEAnu/8rPM4U9V0NlRaWhrvvvsuK1euZN68eYwfPz7bMYsC/2LazsvYVmkAkhZkuf83N7aJRUF78803cXBwYNu2bUU6DiH/xLYnwax4eXkxb948/P392bVrV5GM4ZrWw6CWf9rUFDRJsaQ9fUjcyS0k3zyNTaV6Os+RSVq6fPwDpUuX5q233uKvv/7ilVdeYfHixVy5coWHDx/y559/MnbsWGrXrp2nYBwUFERwcDA/TZ/M1yboLmQISZLQJD1Dbqf7i7iFXMaq4wWfdZ4hMTGRnj17smbNGtasWZNjMF4XFsGP562wzfiz0xGMoWiy6HXx9fXlwIEDRm/lE4ovMUMWCo0kSXTp0oVz585x/vx5XFxc9J9kQq1/CuGOAfuHo5ULSPhHmf4bmRy7mk1x7fwhFja620HaqhP4oo6KVq1aUblyZROM+D8ajYb69evj4uJCaGgoMpnsv0xxSYICSvxJOB9C9I45uHX+CId6HXQeW8nNjtDP2hbIOJ735MkTunXrxoULF9i0aRPt27fPdkzGf5uMbPC8MnUWvTFOnDhBkyZNOHr0aK6V0oTiwdAYWjQ5/cJLSSaTsXTpUmrXrs348eNZuXJlod3bmDrQjj5vYfdKCzTx0SRdPowkaUGTpve8FIUDfQb0KZCtMitXruT8+fOcOHEiM8CMa1uDa+F/szlCgcLSyuDn4oZKi75LTPBCrMu/gn0dX73HZ9TBLsitQnfu3KFjx448ffqUAwcO0LBhw2zHfLdyOz/+stigbPHES4eIC9tCWvQ9ZDI5lmUq4di4D3bVfQCYvecqZRysiySLvGHDhjg6OrJv3z4RkF8SYoYsFLqAgADeeecdtm3bRvfu3QvlnhcexNL118N5OvfRuq/QqhIoO2yu3tlW7XvbsU99mlnAw5D/1XeMWq0mJCQEV1dXXn/99czXVSoVhw4dwq1SLVw6jCXJ0Uvvc1JDaRKeErlqIpJWQ9mhs1GUyrmxxIt2ftgC73JO+b5/TsLDwzM7SgUFBVG9evaCJndjkniteQeS717Umy0ed2o7T/cuxraaD7bVfZDUaSSE7yUt6hZlek3BrlYzoGizyHv27MmzZ884cOBAod9bMB3xDFkwW8OHD6dr166MHj2amJiYQrlnaj4SoOxeaU7qw2uoY+7rPTY2PpGnT5/y7NkzYmNjiYuLIz4+noSEBBITE0lKSiI5OZmUlBRUKhWpqamo1WrUajVarRat9r9xyuVy5HI5t2/fJjU1lTp16mBlZYWNjQ02NjZcvXoVmUxGo1cq89qjfdS+sxn32MtYp8alL2M/z4gKX9qURB6tn4Y2JRH3/l8bHIwBgvcf4NSpU0RGRmb5LPl18OBBWrZsiYeHB0ePHs0xGANM2RyO4xs9KT92Ba7t36NUvY44Nx9I2cE/Imk1xB3fkHls/OntWHnWoEzfqZR6vQuOPm9RdvCPyKxsSQj/r0qWWisxZXP2feuFwdfXl2PHjpGYmFgk9xcKl1iyFgqdTCZjyZIleHt789FHHxVKNaL81IGW0tJbPWpV+n8oLvp9gUlniI8ePaJ69epMmDCBOXP+awCxbds2Nm/ezKpVqxg8eHC2835fspwJU2dy9PhJbKwUJKdq6Lv4mN77SepUojbMQP30Ph4Dv8WqtHFLtZ9/OoG0qFsAKBQKypcvT4UKFbL9ynjd09MThUL3j6FNmzYxaNAgWrRowaZNm3KdYVx7FM+h60+wLPdqtvcsXctjVdqLtCf/1YfWpiZh6Vo+y6qH3NoOuaUNMsv/9oBrtBKHrj/helR8oWaRQ3pd69TUVA4fPlyoe/iFoiECslAkypUrxy+//MKwYcPo06cPvXr1KtD7VXazR8aL1Yqz0iQ+w8LeOctrkkZN4vn9yBTWWOoJTrJ/72NK06dPR6FQ8L///S/ztdjYWN5//326dOnCoEGDcjwvLuYx9qlPaVg5fXabqFLr/fySVsPjLT+ienAZ9z5fYl0+e2DTRQZcPX2EmKiH3Lt3L9uvM2fOcO/ePZKT/9t6JpfLKVu2bI5Bu0KFCoSGhjJ16lT69+/PypUrsba2zvX+q09EZG5dyvbZ/s0Wf/7P0MarDkmXjxB3ajt21d9A0qQSd3oHWlUSjo16ZDk/I4t8eiFlt2d45ZVX8PT0ZO/evSIgvwREQBaKzJAhQ9iwYQNjxoyhZcuWlC5dusDuZW+twMvVTmeWdbRyAVJqEtYVa2NRyg1NwlMSLx5AHX0PlzdHIbey1XkPLzc7kyY0Xb58maVLlzJr1ixcXV0zX//888+Ji4tj0aJFuT7Tjo6Oxs3tv6VmQz7/0/3LSb5+Atvqb6BJTiDhfNZ+1g61dWdQW6XFcebkMTp37kyDBg1yPEaSJJ4+fZolUN+/fz/z/+/du5d79+4RFxeX5bz9+/fTtGnTXAN3+fLlCbkSlWuDkMQLB9DER+Pc4r/VBNd276FNiuPp3sU83bsYALmtIx5vf5vty4hGKxFyNYrpFG5AlslktGvXTjSaeEmIgCwUGZlMxuLFi/H29mbcuHGsW7euQO/XtpY7gSfu5PpD2/7VliScCyb+711ok+ORW9liVbY6Lm3e0VnLGtJnUG1rupt0vJMmTcLLy4sPPvgg87WQkBCWLFnCb7/9RsWKFXM998WADPo/f+qjmwAkXz9J8vWT2d7XFZBlSPDgAn36fIeDgwPdu3enf//+mUlYmcfJZLi6uuLq6krdunVzvJZGo8HPz4+AgABGjhxJ8+bNswTtI0eOcP/+faKjo/+7rpUtFSesz/ELSm7Z4jJLaxRuFbAvVTo9qSs1mbiwrTzeNBOPIT9i6VIuy3UKI4s8J76+vgQGBvLkyZMC/dIqFD2RZS0UubVr1zJo0CD++usv+vbtW2D3Kcg60GDaSlWhoaG0adOGtWvXMnDgQCC9nGLdunXx9PQkNDRUZ3GRt956C7Vazc6dOzNfK4zPr332kL/++ov169dz7tw5SpUqRY8ePejfvz8dO3bUueQMkJyczKBBg9i+fTvLli1jxIgROo/NCNRh1x7y283sP5t0ZYs/Wj8NmUyOe79p/x2fHM+DxaOxqVyfMj0nZbteQWaR5+bevXtUrFiR9evX069fv0K9t2AaIstaKDYGDhxIr169eP/994mKyrlrkSnU8ChFy+qlDarWZQwLuYyW1UubLBhrtVo+++wzfHx8srQ1nD59Ovfu3WPZsmV6K329OEOWJImTe7ehvnceSau/V7Qxnv/8NWvW5H//+x9nz57l4sWLfPbZZ/zzzz+89dZbuLu7M3z4cHbu3Elqamq26zx79oyOHTsSFBTE1q1bdQZjAFtbW6pXr06bNm1o1zF74w9d2eJpzyJJuXka2xdWPixsS2Fd4TVU9y/meM/8ZOvnVYUKFahVq1aB9RUXzIcIyEKRk8lkLFy4EEmSGDt2LAYs2uTZzF51UJg4ICvkMmb2qmOy6/3555+cOnWK2bNnZy7Bnjp1ijlz5jB9+nRq1aql9xrPB+SIiAi6devGkCFD8OEaNpYKo7ZB6ZPb53/11VeZOnUq58+f5/z580yYMIGTJ0/SrVs3PDw8eOedd9i9ezepqancv3+fli1bcuHCBfbv30/Xrl2NGsOLWfTPZ4u795uaLVtcm/j03wOzB1hJq871S0t+svXzQzxHfjmIgCyYBQ8PD37//Xc2btzI+vXrC+w+FV3tTF4HekYPb5MVjUhJSeGLL77grbfeolWrVkB6E4VRo0ZRt25dPv30U4OuEx0djYuLC7/99hve3t6cPXs2fatU4DJqJYabtNSmIZ/f29ub6dOnc/HiRcLDw/nwww85evQoXbp0wd3dnVq1ahEZGUlISAhNmjQxegzPZ7c/ny1epufkHLPFFS7lQCYn8dKhLF8A1XFPUN27iJVHtWznFEQWvaHatWvHjRs3uH37dpHcXygcIiALZqN///7069ePDz74gEePHhXYfQb6ePFZh5r5ukbGD/EJvtVNWlZxwYIF3Lt3jx9//DHztVmzZnHhwgWWL1+epc+vrrFFR0fzxx9/MG7cOIYMGcKFCxfo3r0777//PtvnT0Z9ZrNJxjuxQy2jPr9MJqN27drMmDGDy5cvExgYiEqlIi0tjSdPntC2bVveffddgoODjWqqYG+twFadADyXLV61YWa2+PO/ACzsnHCo2w5VRDiP1v6PuNPbiT22nsjAz5DSVDg1yf6s1tRZ9MZo06YNcrlczJJLOBGQBbPy22+/IZfLef/99wt06Xpc2xr80LsO1gq50c+UJY0aC7Q82/MbZwJnmmycMTExfPfdd7z33nuZy9KXLl1ixowZTJw4MdetRM9LS0vjq6++QqvVkpSURGhoKAsXLsTR0ZHRo0ezaNEiypcvT/i6n/L8+S3kMqwVcn7sXYcP2uZcMcsQu3btYvTo0fj4+PDw4UPOnDnD6NGj2b9/Px06dMDT05MxY8awf/9+vcE5MTGRmAuHkCFlyRaP3jEn268Mrh0/wKX9e2hTEngW+gexx/5C4VIOj4HfYuNVO9tnNnUWvTGcnZ1p1KiReI5cwoksa8HsbNy4kb59+7J69epcC1+Yyt2YJKZsDufQ9Se5FpXIkPG+iyqS2+u/Z8akj/noo4/48ssv+eabb/I9lk8++YRly5Zx/fp13N3d0Wq1tGzZksePH3P27FlsbXXvgz516hSjRo3iwoULaDQadu/eTadOnZAkiVGjRuHv70/FihU5d+4czs7OmZ9/0sZ/OHrzKTIkJB0NKkzZLzggIAA/Pz+6d+/OmjVrsnw2SZI4c+YM69evZ/369dy+fRt3d3f69OlD//79admyJRYWFlmuFxgYyKgJ/6PcuwvzPCZ9Crvf84umTJnCsmXLiIyMzFP7TqHoiCxrodjq06cPAwcOZNy4cTx8+LBA71XR1Y7AUY0JHt+KoY0rUcnNLltIkpHeWnBo40rsndCKkKl9sCeF7du38/333/Ptt9+ydOnSfI3jxo0bLFiwgEmTJuHunj4T+/333zl69CjLli3TGYyTkpL47LPPaNy4MQqFghUrVgDg6emJJEkMHz4cf39/KleuzPnz5zODccbn72Z/mwdL3+et11wM+vyBoxrnORhLksQPP/zAO++8w6hRo9iwYUO2zyaTyWjYsCE//vgjN2/e5OTJkwwdOpQdO3bQtm1bypcvz7hx4zh48CAaTXrylb+/P83rVCsWWfR51a5dOx4/fsz58+eLdBxCwREzZMEsRUdH4+3tzRtvvMHWrVvz1dPWWIkqNW++NYByFbz4dsZ0KrvZZ3t2GBQURKdOnVi0aBFnz55lyZIlbN++nc6dO+fpngMGDODIkSNcvXoVOzs77ty5g7e3N8OGDeP333/P9bx9+/YxevRoHjx4wNdff80nn3zCnj176Nq1KxEREUyaNIm1a9dStWpVzp49i4ND9p7O7dq1Iy0tjdDQ0MzPfzs6kVS1FiuFPMfPnxdarZYJEybwyy+/MG3aNKZNm2bUn6skSZw4cYL169fz119/ce/ePTw9PenQoQMrV67E398f3x79aTcvFJUJtycVZben56WkpODi4sLMmTOZMGFCkY5FMI6YIQvFmpubG4sXL2b79u2F0nziefbWChw1cVgnPMS7nFOOwahjx468++67fPbZZ3z66ad07dqVfv36cfr0aaPvd/z4cdavX8+3336LnZ0dkiTx3nvv4eLiwg8//JDjOU+fPmXUqFG0a9cOLy8vzp07x+eff45CocisYDV+/HjWrl1LjRo1OHfuXI7B+Pbt2+zfv5+RI0dm+fze5Zx43csl189vLJVKxaBBg1iwYAELFy5k+vTpRn/JkslkNGnShLlz53Lnzh2OHDlC//792bRpE5C+pDv3m/8xzNtGz5WMY8os+vywsbGhRYsW4jlyCSYCsmC23nrrLYYMGcJHH33E/fv6Wx+akrW1NSkpKTqPmT17Nq6urowePZrVq1fj7e1N165djdqaIkkSn332GXXr1mXo0KFA+vPQoKAgFi1alOO36U2bNvHaa6+xYcMGlixZwr59+6hRo0bm+0+ePMHCwoJNmzbxyiuvcPbsWeztc96us3LlSuzt7Qu0QlpcXBxdu3Zly5Yt/PXXX4wZMybf15TL5TRr1oy5c+dSunRpunbtSt++fVm3bh1fvv0m2n+2mmDkxmeRFzRfX19CQ0NJS0sr6qEIBUAEZMGs/fzzz9jY2DB69OgCzbp+kY2Njd6A7OjoyPLly9m/fz9//PEH27dvx97ens6dO2f2eU5UqbnwIJa/I55y4UEsiaqs2cJbtmzhyJEj/PTTT1hYWPDo0SMmTJjAoEGDshXHePjwIX369KFPnz40btyYixcv8u6772ZJ8JEkiYULF6LRaKhduzZ///13rs+ftVotAQEBDBgwINeAnV+PHj2iTZs2nDp1iqCgIHr37m3S6x88eJBbt24xadIkfvnlF+7du0doaCjdq1qSetgfbZoKjKxMZqos8oLQrl07EhMTOXHiRFEPRSgA4hmyYPa2b99Ojx49WLFiBe+8806h3HPIkCHcv3+fkJAQvceOHTuWlStXEh4ejkajoVnnPng074Ord0vuPk3O0vJQBni52tG2ljv9G5ajZ9vGVK1aFaVSCaQ/S96/fz8XL16kTJkyQHqQXbFiBZ999hlWVlYsWLCAvn37Zlvy1Wq1dO/enV27dmFjY8OzZ8901o7ev38/vr6+HD58mObNmxv930if69ev07FjR5KTkwkKCqJOHdNVM8swYsQIDh8+zLVr17L999BoNGxUHuDHkAiiLd2RtBpkcotcrmTaLPKCotFoKF26NOPHj2fatGn6TxDMgqExVARkoVgYMWIEmzdv5sKFC1SoUKHA7zdq1CguXrzIsWPH9B6bkJBAnTp18KxRh6oDpnD4erTBP/yTb/1N4Edd6NCsAVu3bqVnz55ZtnvduHEjc2/uiBEjmDNnTpZWjBm0Wi2dO3dmz549ODs7U79+fb1fJoYMGUJYWBiXL182edLc6dOn6dKlCy4uLgQFBVGpUiWTXh8gPj6esmXL8sUXX/Dll1/qPPbSg2fM3nKcY7djSZTbZ/u8ldzsaFvTnSFNvIo8m1qfPn36EBUVxaFDh4p6KIKBRFKXUKLMnz8fBwcH/Pz8CmXp2pAl6wwODg6M+GYJ9+qO4Mj1JwA6gzGQud/ZtnI9Ptz9iBWhlxk7dixdu3bl7bffRq1WM2fOHOrUqcPNmzcJCgrC398/12DcoUMH9uzZg4+PDw0aNMicXecmNjaWjRs3MnLkSJMH4+DgYNq0aUOVKlU4fPhwgQRjgA0bNpCcnMywYcP0HvtqOWeWj+3ExVkDOPulL1/5KHjjWSiJG78kYk5fHi55D/XJtSRF3irURyN54evry/Hjx0lISCjqoQgmJgKyUCw4OzuzbNkygoKCWL58eYHfz8bGBpVKZdCxC0Ku4X8hFbnCSmdhjRzJ5KjUWmYob5BW05eFCxcSHh5O06ZNmThxIu+99x7h4eF06NAhx9M1Gg1vvvkm+/bto2nTphw9epSYmJhsvZBftG7dOlJTUzMTyUxl3bp1dO3alZYtW7Jv374C7d/r7++Pr68vXl7GJV05O9gyqndH1i+cxYMLJ9m1bTMtWrTgt99+o169erz22mtMmzaNCxcuFNDI86ddu3ao1WoOHiy4VppC0SiawqyCkAedO3dm5MiRfPLJJ7Rv377AZl5gWJY1wLqwCGbvuZr+m+dmmk92zCPxfO51h8t/EICiVNZgZddkABMXbmbjT59Sq1Ytjh07RuPGjXO5QnowbtOmDYcPH6ZFixYcOHAACwsLoqOj9QZCf39/OnfuTLly5fR+RkPNnz+fCRMmMHz4cJYuXWpQ3e28un79OocOHcr3ljhLS0s6deqUuad87969rF+/np9//pkZM2bw2muv0b9/f/r378+rr2ZvUlEUatSoQYUKFdi7dy9dunQp6uEIJiRmyEKxMnfuXJycnAp86dqQJeu7MUlM25bzLKrU651w6/bpC78+QWZpjWVpr2zBGABJ4lhqBcb/7xvOnDmjNxi3bNmSw4cP06ZNm8xgDOnbnnTNkC9cuMCJEydMliAnSRKTJ09mwoQJTJo0CX9//wINxpC+XcvR0ZFevXqZ7JpWVlZ06dKFgIAAHj16xPbt22nYsCFz5szhtddeo06dOnzzzTdcuXLFZPfMC5lMJtoxllAiIAvFipOTE8uXL2fv3r0sWbKkwO5jyJL1lM3hqHOpfW1d/lUcarfN8kvh5IGUpsL+tTY5X1Amw8LKmsiKbbGyssr1vmq1mqZNm3Ls2LHMH8wZwTg5OZnk5GSdAdnf35/SpUvTvXt3nZ/PEGlpaYwYMYIff/yRefPm8cMPPxR4VTWtVsvKlSsZMGAAdnYFkwltbW1Nt27d+OOPP4iKimLr1q3Uq1ePWbNm8corr1CvXj2+++47rl27ViD318fX15dz584RFRWld2udUHyIJWuh2OnQoQOjR4/m008/pUOHDlSpUsXk99C3ZH3tUTyH/k3gMlTixVBAhv1rrXM9RivBoetPuB4Vn2O2r1qtpnHjxpw5c4ZOnTqxa9euLAEwo0pXbgE5LS2NwMBAhgwZojPoG/R5EhPp168fe/fuZc2aNbz99tv5up6h9u/fz927dwttC5yNjQ09evSgR48eJCcno1QqWb9+Pd9//z1ffvklr7/+embr0GrVsvdRLghV6zfDpd1oOv12gqep8ly31g1u7EUND/POGhf+I2bIQrH0008/4ebmxqhRo9BqTVe3OIO+JevVJyKMamIgadQkXT6MdYVXUTh76DzWQi5j1fGIbK+npaXRqFEjzpw5Q7du3bIFY9AfkHft2kVUVFS+g9mTJ0/w9fXl0KFD7Ny5s9CCMaR3iqpVqxZNmjQptHtmsLW1pVevXqxdu5aoqCg2bNhAjRo1+Oabb6hevTqNGjVi1qxZ3Lp1q0DufzcmiaHLTzBo9SUcG3Ql5oVgDCABd2KSCDxxh/bzDzJ0+QnuxiQVyHgE0xIBWSiWMqpkhYSEsHCh6Vvu2djYoNVqc+3DG3IlSmerxhcl3zqDNjku9+Xq52i0EiFXo7K8lpqaSoMGDTh79iy9evVi27ZtOS4N6wvI/v7+NGzYkLp16xo89hfduXOHFi1acOvWLQ4cOED79u3zfC1jxcbGsmnTJkaMGFGoDUdyYmdnR58+ffjzzz+Jiopi/fr1VKlShenTp1O1alXeeOMNZs+ezZ07d0xyv3VhEbSbF8rRm+l/xhi4te7ozWjazQtlXVj2L3mCeREBWSi22rVrx/vvv8/nn3/OzZs3TXrtjApXOc2SE1RqIoyccSReDAW5ArtXWxh0fER0UuazwNTUVOrXr8/58+fp168fGzduzDUY6QrIkZGR7NixI1+z43PnztG0aVPS0tI4cuQIDRs2zPO18mL9+vWoVCqTb9fKL3t7e/r168dff/1FVFQU69ato2LFinz11VdUrlw5synG3bt383T9BSHXmLwpHJVaa9QXQUgPzCq1lsmbwlkQUjTPvAXDiIAsFGuzZs3C3d2dd955x6RL1zY26R2DcgrId6ITsy0T6qJNTSb52nFsq7yOha1hle4k4HZ0IiqVijp16nDp0iUGDRrEn3/+qXNmGB0djVwux8nJKdt7q1atQqFQ5Hl5OTQ0lFatWlG2bFmOHj1K9eqFX+c5ICCADh06UL58+UK/t6EcHBwYMGAAGzduJCoqitWrV2dWFPPy8qJ58+b8/PPPBjdMybK17jmqyOs8+nMqEXP7ETG3H4/WfUXqI91fTGfvucqfYqZstkRAFoo1BwcH/P39OXjwIAsWLDDZdTMCck6Z1qlG9tpNuno8Pbvau41R58UnJlO7dm2uXr3KsGHDWL16td5l2ujoaFxdXbM0nID0rUn+/v706tUrx2pf+mzatImOHTvSqFEjDhw4gIeH7ufgBeHKlSscPXqUESNGFPq986pUqVIMGjSILVu2EBUVRWBgIG5ubkycOJEKFSrQsmVLfv31Vx48eJDj+bltrVNFXufRqs9RP4vEufnbODUfSNrTB0SumUxa9D2dY5q67YJ4pmymREAWir02bdowbtw4Jk+ebLJtKLqWrK0Uxv2zSbx4AJmVLbY1ct9XnJNBA/tz/fp1Ro0axcqVKw06Jzo6Osfl6pMnT3Lx4sU8LVcvWrSIfv360bNnT3bu3Flk9exXrlyJs7Mzb731VpHcP7+cnJwYMmQI27ZtIyoqKnMv9SeffEKFChVo3bo1v/32G5GRkZnn5La1LvbQKmQKK8oOm41j4944Ne5D2aE/gSTxLPQPneNQayWmbA43+ecT8k8EZKFE+OGHH/D09OSdd95BozGu3V5OdC1ZV3azN7hApiYplpTb/2BXowlySxvDByBJ3A4PY8yYMSxbtszg03Kr0uXv70/FihXx9fU1YggS06dP5/3332fcuHGsWbNGZ/eogqTRaPjjjz94++23M/9sijNnZ2eGDRvGzp07iYqKYvny5djZ2TF+/HjKlStH27Zt+eaXpRy6/iTHZ8Ypdy9gU7l+lkcgCgdXbCrWJunGSbSpybneW6OVMrfWCeZFBGShRLC3tycgIICjR4/yyy+/5Pt6upas7a0VeBnYmi/x0kHQaoxerk57+pAP3vMzOoM8pypdSUlJrF27luHDh2cWENFHo9EwZswYvv76a77//nvmz5+fbRm8MO3du5f79+8X2t7jwuTi4sI777zD7t27iYyMZOnSpVhZWTF/xxmkXHo5S5o0ZIrs+8hlltagUZP2WHdmd25b64SiJQKyUGK0bNmSjz/+mClTpuS7vKGuJWuAtrXcDdqHnHjhAHI7Z2wq1zf43pJWwyuOGn799VeDz8mQ05L1pk2biIuLM/jZa3JyMn379mX58uX4+/szefLkIt9i5O/vz2uvvUajRo2KdBwFLWNvfVBQEK++2SfXrmGWrhVQPbiSJWBLmjRUD9L/3qvjo3XeJ6etdULREwFZKFG+++47KlasyIgRI/K1dK1rhgwwuLGXQdtPPIfNoeJHq/S2Y3yeTG7BggkDDD7+eTkFZH9/f9q0aWNQFamnT5/SsWNHgoKC2Lp1q1kkUD19+pQtW7aYxd7jwpKgUnM/NvfSraUadEEdc5/oXb+Q+iSC1Me3ebJjLpqEpwBI6lS993h+a51gHkRAFkoUOzs7/P39OXHiBHPnzs3zdfTNkGt4lKJl9dJGVesyiKQl5fbfzJk6MU/NM14MyLdu3WL//v0GLfXev3+fVq1aceHCBfbv30/Xrl2Nvn9BWLduHWq1miFDhhT1UAqNvq11pV7vgmPT/iReDOXhsrE8XD4O9dNIHJv0AUBupf85e8bWOsF8iIAslDjNmzfnk08+4auvvuLSpUt5uoaupK4MM3vVQWHKgCxJWFsq+MK3MsuXL+fbb7816nSNRsOzZ8+yBOSAgABKlSpFnz59dJ576dIlmjZtSlxcHIcPHy6SspS5CQgIoFOnTnh6ehb1UAqNIVvrXFoPo8JHq/AY/COeIxfgOWIeSOnnKVwN26dt7BY+oWCJgCyUSN988w2VK1dmxIgRuZa/1EXfkjVARVc7vu7hnecxZiOT4XIjmHf69+Cbb75h6tSpBm93gvSlXUmSMgOyVqslICCAAQMGYG9vn+t5x44do0WLFjg5OXH06FGz6fsLcPHiRU6ePFkik7l0MXRrnYWNAzYVvbFyrwxAyu1/sChVGku3Cia9j1A4xJ+GUCLZ2toSEBDAqVOnmD17ttHn61uyzjDQx4vPOtTM0xj/k7442buagks7l9OyZUuGDx+On58ffn5+BAcH671CokrNyasPsPKsSYKlM4kqNfv37yciIoKRI0fmet7OnTvx9fXF29ubgwcPml0FrICAAFxdXenWrVtRD6VQGbO1LkPipYOkPryGY6MeyGT6f7TL/r2PYD5E+0WhxGrSpAmfffYZ06ZNo1u3btSuXdvgcxUKBRYWFnoDMsC4tjUo7WDNl5vPkqbWIrMw/J+VDAkrhQUzengzwMeLkU2O0LVrV5o2bcq2bdu4f/8+ffr04dChQ9SrVy/LudcexbP6RAQhV6KIiElCAjyHz2Xq0WSmHQ3COi2eqv0m4VYl51m8v78/7777Lt27d2fNmjXY2toaPO7CoFarCQwMZPDgwUW2/7moZGytu5NLRa2UiPPEHlmLTZXXkds6kvrgMgnn9mJTtSGlfAwrnOLlZoe9tQgB5kTMkIUS7euvv6ZatWqMGDGCtLQ0o861sbHRuWT9vF51PXiycjyqu+kVkHLbP5oh4/0W1cuwd0JrBvh4AVC7dm2OHz+Oh4cHbdq04b333qNGjRp06dIlszFBRgu+9vMPEnjiDnf+DcZZrg+kWJZCW60FHX4+lKUFnyRJ/PDDD4wcOZJRo0axYcMGswvGAEFBQURGRppFpndR0LW1zqKUG8jlxJ3YRMyehaTcu4hzq6G49/nSoIx+C7mMtjXdTT1kIZ9EQBZKNBsbG1auXMk///zDrFmzjDrX2traoBkypG+3in1wkzbSeR4u/4C6Ns+o5GaXbdlRkiTSYh7QyDGJvRNaETiqMRVfKDLi6elJaGgoLVu2pE+fPgwZMgRLS0s6d+7MitDLWVrw6dt6Jf07gowWfGtP3GH8+PF88cUXTJs2jUWLFhlcLKSwBQQEULduXV5//fWiHkqR0LW1ztLFE48B31Dx4zVUmriZ8u8uwqlpP2QWlgZdW6OVGNLEy5TDFUxArFcIJZ6Pjw+TJk3i66+/pnv37gb3AraxsTEoIMfHxzNr1izs7OwIDw+ndkU3Nn81CIVCQaJKze3oRO7ef8jA/n2Ju3+DRQt+ZvTogTqv6eDgwNatW/nwww/55JNPeO+999hyLZkZyhsGjf1FGq2ERivxxZbzPDv1iIULFzJmzJg8XaswREdHs23bNn744YeXZu/xizK21h29GW10y0VdLOQymlV1o7p7KZNdUzANEZCFl8LUqVPZtm0bw4cP5+TJk1ha6p9JGLpkPX78eFQqFZ06dSI4OJhTp06hUKT/07K3VmCniqFv20YkJiayYsUKgzOGFQoFv//+O1WqVOGb1ftw6/JRtmO0qcnEndiE6sEVUh9eRZuSgFuX8TjUbZfrdZ1bDcWlYR2DxlBU1q5di1arZfDgwUU9lCI1s1cd2s0LNWlAVshlzOxl3n/+LyuxZC28FKytrQkICCA8PJyZM2cafI6+GXJkZCQBAQG4uLiwd+9ePv/8c+rXr5/5/s2bN6lduzZJSUn88ccfRm/fkclkvO03Do+uH+ZYKESbFEfskbWkRd/F0r2Kwdc19xZ8/v7+dO3aFXf3l/s5p8m31gEzenhne0wimAcRkIWXRsOGDZkyZQrffvst//zzj97jDVmyHjlyJFqtltKlS1O1alWmTp2a+d7Vq1epXbs2ycnJrF69mqFDh+Zp3FM2hyPJ5Dku3Vo4uFJhXCAVxvrj0jb37U0vMucWfOfOnePMmTMv3d7j3Jhma126iR1qZSYQCuZHBGThpfLll1/y2muvMXz4cFJTddf71bdkffnyZXbv3k2ZMmW4du0ay5cvzywocvnyZerVq0dKSgrr16/n7bffztN4rz2Kz7UFH4BMYYmFg4vR1zXnFnwBAQGUKVOGLl26FPVQzMa4tjX4oXcdrBVyo8u1WshlWCvk/Ni7Dh+0rV5AIxRMQQRk4aViZWXFypUruXjxot7SlPqWrDNqK8fHxzN27FhatGgBwIULF6hfvz6pqals2rSJvn375nm8q09EmL5e9r/MsQVfWloaq1atyswsF/4z0MeLvRNa06xqeiU2fX8vMt5vVtUty9Y6wXyJpC7hpVO/fn2++uorZsyYwVtvvUXDhg1zPE7XkvXBgwc5ffo0Tk5OODo68v333wPpy60+Pj6o1Wq2bNlC9+7d8zXWkCtRJk3oeV5GC77pmPYZZX7s2rWLx48fv7R7j/Wp6GpH4KjG/xWFuRpFRHTWfegy0ot+tK3pzpAmXiKbuhgRAVl4KX3xxRds2bKF4cOHc/r06WyVoBJVarRO5XiqkbjwIJbKbvZZqhpltAKMjY1lzZo1ODo68vfff9OkSRPUajU7duygc+fO+RpjgkpNRAEnXmW04DOXik0BAQG8/vrrBm9Ne1nV8CjF9B7eTMc7c2tdqlqLlUKe7e+qUHyIPzXhpWRpaUlAQACNGjVixowZfPfdd9lLUVbpDUDXXw+nzzpc7Whbyx2XmAvcunULS0tLBgwYQJcuXQgLC6N58+ZotVqUSiXt27fP9xj1teAzhYwWfN7lnAr4TvpFRUWxY8eOfLXNfBnZWyvM4s9PyD8RkIWXVt26dZk2bRpfz/mN8NKtOReVhoVcluMSsQTciUki8MQdNFp73Ad8g+Z4IPPmzeP48eO0bNkSSZIIDg6mbdu2JhlfYbXGM5cWfGvWrEnf5pXHBDhBKO5EQBZeapV9B1Mu1ptzkSkgt9D7vDbjfRuvOlhWncOi4HN8PawjACEhIbRs2dJkYyus1njm0IJPkiT8/f3p0aMHpUuXLurhCEKRKPp/iYJQRBaEXON/Wy+AhSUYUJD/eTILBWpJxrJzyTg07ptZe9oUtFot58+fZ8/G1ZBDMRBTMpcWfP/88w/nzp0TyVzCS03MkIWX0rqwCGbvuZrje5I6jWeHVpF4IQRtSgKWZSrj3GootlVybnLg1HIIdy0NawifE61Wy7lz5wgNDSU0NJSDBw8SHR2NpaUlFceuQGOre59x3OntaFMS0STEAJB8/STq+CcAODbsjtwm94BrLi34AgIC8PDwoFOnTkU9FEEoMkX/L1EQCtndmCSmbbuQ6/tPds4j6coRHBu9hcK1HInhe4n6azoeb8/EpmLOW4SmbrtAs2qlDSpJqNFo+OeffwgNDeXAgQMcOnSIZ8+eYWVlRZMmTRg7diytW7emadOmzNp769/n1rnPlONObEYTF5X5+6SrR+HqUQAcvNvmGpDNpQVfamoqq1ev5p133smsAS4ILyPxt1946UzZHI46lwCnenCFpEsHcW47EqfG6VnWDrXf5MGyD3h2wJ+yQ2fneF5GKcrAUY2zvZeWlsaZM2cyZ8CHDx8mLi4OGxsbmjZtyoQJE2jdujWNGzfOrPSVYXBjLwKO3db5eSqMXWHAp87OXFrw7dixg+joaLFcLbz0REAWXioZpShzk3TlCMjklKr/39KpTGGFQ732PAv9A3XcYxSOZbKd93wpSi9na06dOsWBAwcIDQ3lyJEjJCYmYmdnR/Pmzfn8889p3bo1Pj4+2fY/v+hlaMHn7++Pj48P3t7mU6BEEIqCCMjFhNj8bxoZpShzC26pj25i6VoeuXXWpWcrz5qZ7+cUkAFkSPSZ/DPX1s0kOTkZBwcHWrRowZdffkmbNm1o2LBhnspBluQWfJGRkezevZtff/21qIciCEVO/EQ3Y9kKVTz33vOFKgY39qKGR9HPdIoDfaUoNQkxOTZrsHBwzXw/NxIykp2rMmPGDFq3bs3rr79ukmeiGS34Jm8yXXcmc2nBt2rVKhQKBQMHDizqoQhCkRMB2QzdjUliyuZwDl1/YlChioBjt2lZvTQze9Uxix+y5sqQUpSSOjV9G9QLZAqr/97XIc3aifc/7G/y1YuBPl48SVDlmhlujPjDq3FoMRgo2ufHkiQREBBAz549cXExvmOVIJQ0Yh+ymVkXFkG7eaEcvRkNYHChiqM3o2k3L5R1YebVvcecGFKKUqawAk1attczAnFGYM5NRinKgmCKFnzf9niVVqWT6dmzJ3/99VeBjNNQp06d4sKFCyKZSxD+JWbIZmRByLU8z4A0WgmNVmLypnCeJKgY17aGiUdXvCQlJREZGZnl17kH8UBtnedZOLiiiY/O9nrGUnXG0rUuBVmKcqCPF82rlc5cQZG0GmQ6ippkrLA0q+qWuYIyYP16RowYwcCBA0lMTCyygBgQEEC5cuVMUvdbEEoCEZDNhK5CFQCqyOvEHl6D6t5FJHUaCmcPHOp3wrFRj2zHzt5zlTIO1iWu/6lGo+Hx48dZguzDhw+zBd7IyEji4uKynKtQKCj7aiMsuuoOyFbuVYm7cw6tKilLYlfqg/Q/GyuPqnrHWdClKDNa8L33+XR2XomjWotu3I5OQib7b9asqwWfpaUlf/zxBw4ODrzzzjskJibywQcfFOiYX5SSksKaNWsYM2YMFhbGVUkThJJKBGQzoK9QRfKtM0RtmIGVRzWcmg1EZmWD+lkkmvjct+8YU6iiKEmSRHx8fLaAmlOgjYqKQqvNOvt0dXWlbNmyeHp6UrFiRXx8fChbtmzmL09PT8qWLYuLiwvJaVpqTw/SuWxt90pz4k5uIv4fZeY+ZEmdRkJ4MFblauWaYf28SoX03/yYchPtGzZk1og6eJT34pcVa2neqrVBWfgWFhYsWrQIBwcHxo0bR3x8PJMnTy6UcQNs27aNZ8+eieVqQXiOCMhmQFehCq0qiSc75mJbzYcyvb5AJjNs9qWrUEVhSEtL49GjRwbNZpOSsiZa2djYZAmmTZs2zTHIuru7693H+zx7azlernbc0ZHYZV2uFnavtOBZ6Eq0Sc9QuJQjMXwf6tgoPDp/rP9zxzygfu1X6datG926daNVq1ZYWel+7pwX9+/fJzw8nClTphAdHY2UlkJdL1de9zI8OUomkzF79mxKlSrFF198QUJCAt98802WmXZB8ff3p2nTptSqVavA7yUIxYUIyEVMX6GKxIsH0CY+w6XVMGQyOdrUFGSWVnoD8/OFKkxV/EGSJJ4+fWpQkH3yJOtnkslklClTJjOg1qhRg5YtW2YLsmXLlsXR0bFAgsLdu3exfHIVCU+dz11Ld/uEZwdXkXg+BE1KAlbulXHvOxUbLz3Pn2XQ2rscdvL2bNq0iZ9//plSpUrRoUMHunXrRpcuXXB3N02pyj179iCTyWjfvj2XL18GwM3NzejryGQypk+fjoODAxMnTiQ+Pp558+Yhlxfcsvv9+/fZs2cPCxcuLLB7CEJxJAJyEdNXqCLl9j/IrO1QJ0QTtelb1DH3kVnaYF+7La6+7+rM+rWQy1h1PILpPXRXQEpJSTEoyEZGRpKamnXbj4ODQ5aA+uqrr+YYZMuUKVNkdYpPnDjBvHnz2LBhA44Va+E4cJbO42UKK1zeHInLmyONuo9Ggq8GtqK6e1ckSSI8PJwdO3awY8cORo5Mv9Ybb7yROXuuV69enr94KJVK3njjDdzc3IiOTk9Cy0tAzvDZZ5/h4ODA2LFjSUhIYMmSJQX2bHfVqlVYWVkxYMCAArm+IBRXIiAXMX2FKtJiHoBWw+ON3+BQtwM2rYeTEhFO/L8dfsq89Xmu52q0EkHh92hmcz/XQPvw4UNiY2OznGdhYYGHh0dmQK1Tpw7t27fPFmg9PDxwcHAw2X8LU1Kr1WzZsoW5c+dy7NgxqlWrxrx58xgxYgRj11/kyPUnmDIX+sVSlDKZjLp161K3bl2mTJlCVFQUu3fvZseOHcyaNYuvvvqKChUq0LVrV7p168abb76JnZ1hz541Gg3BwcF89NFHAJkB2dVVfwa4LmPGjMHe3p4RI0aQmJhIYGBgniqL6ZLR97h37944OTmZ9NqCUNyJgFyEDCpUkZaClKbC4fXOuLZ/DwC7Ws2QNGkk/KMkreVgLF3L53r+g/g0OnXrh5SWgrOzc2Yw9fT05PXXX89xNuvm5lagS5YFKTY2luXLl/PLL79w584dWrduzZYtW+jWrRsWFhZotVo8IvajTquFXGEFJloa11eK0t3dneHDhzN8+HBSU1M5dOgQO3bsYPv27SxevBgbGxt8fX3p1q0bXbt2pWLFirleKywsjKdPn9KxY0cgPSCXKlXKJM+qhw4dir29PQMHDiQpKYn169dna3iRHydOnODKlSssWLDAZNcUhJJCBOQiZHChCsD+1dZZXrd/rQ0J/yhR3b+sMyDLZDL2HPubFt6VTfqD1dzcvHmTX375hRUrVpCcnMzAgQPZtGkTDRo0yDwmOjqaIUOGEBQUxKCvFnA4tZLJ7m9MKUorKyt8fX3x9fVl7ty5XL16NXNpe9y4cbz//vvUq1cvc2nbx8cny/KxUqnExcUFHx+fzM+Vn+XqF/Xu3Ztt27bRq1cvunXrxpYtW0y2EuLv70/FihVp27atSa4nCCVJ8ZwGlRCGFJCwcEj/QWth75z1dfv05T5tSoLea7iV8SiRwViSJA4dOkTv3r2pUaMGgYGBfPjhh9y5c4fAwMAswTgsLIwGDRoQFhZGUFAQP43pBWe3mWQcEzvUyvOeb5lMRq1atfj0008JCQnhyZMnrFu3jjp16rBw4UKaNm2Kp6cnI0aMYMOGDcTFxaFUKmnfvn3mM3lTB2SATp06oVQqOXHiBB07duTZs2f5vmZycjLr1q1j+PDhYu+xIORABOQiZEgBCauy1QBQv1A9Sh3/b+UoO/3P4Qq6UEVhS0tLY82aNbzxxhu0atWKS5cu8fvvv3P37l2+++47ypUrl3msJEksWrSIFi1aULZsWc6cOUOTJk3o0qULaWd38Hmb8vkqRflj7zp80La6yT6bs7MzAwYMIDAwkKioKA4fPsyoUaM4ffo0/fr1w83NjRMnTiCXy7l+/TpQMAEZoHXr1uzbt49Lly7x5ptvZsuc1yVRpebCg1j+jnjKhQexJKrUbN68mbi4OIYPH27ysQpCSSCWrItQZTd7ZKBz2dr+lZbEHd9Awrk92Faul/l6wrk9ILfA2kt3Cz3Zv/cpCWJiYliyZAkLFizg/v37tG/fnl27dtGxY8ccn3knJSUxZswYAgMD+eCDD5gzZw5yuZxu3bpx8+ZNDh06RN26denuUzOzFKVM0iLp2lKm1YDcIkspyoJiYWFB8+bNad68Od9//z23b99mxowZ+Pv7s3HjRtatW0etWrVITEykZs2apKWlmTwJ64033uDAgQO0b9+e1q1bExwcnOULz/P0dSdTpEh4D5uOVMrDpGMUhJJCBOQiZG+t0FuowqpsNezrtifxXDCPtVpsvGqTEhFO0uXDODbth6KU7pmRl5tdse+bfPXqVebPn8/KlSvRaDQMHjyY8ePHU6dO7l9Grl69Sp8+fbh58yarV69m0KBBSJLEO++8Q0hICEqlkrp16wL/laK8GhlHhw++wa66D8ly++ztLt3scEy4S8iSGfxyIQwXl8Ktgla5cmUkSaJOnTocPXqUffv2sWPHDgICArh37x5lypShU6dOdOvWjc6dO5ts1ly3bl0OHTqEr68vLVu2ZN++fVSuXDnzfUO7k6XZOKMu15D28w+K7mSCkAOZJEl6u57HxcXh5OREbGwsjo6OhTGul8akP0+x/u+HOmdlkkZN7LH1JJzbiyYhBoVTGUo16Iajz1s6r20hlzG0cSW9+5DNkSRJhISEMHfuXHbu3Im7uztjx47l/fff11tcY9OmTYwYMQJPT082bdqEt3f65586dSrffPMNq1atYvDgwdnOu3r1KrVq1WL79u20bd+J29GJLFqyjA3r13H972PYWyuIjIykYsWKzJs3j3HjxhXIZ8+NJEmUL1+ewYMH89NPP2W+Xr58ebp27Ur58uXZsWMHp06dQi6X07Rp08zEMG9v73wXW7l9+zbt2rVDpVKxd+9eatWqxbqwCKZtu4D63+YmhrKQy1DIZXzdw5uBJazmuiC8yNAYWrIeLhYjsbGxTJ06lcUTh+heIgVkFgqcWwyiwtgVVPp8C+XfW6o3GEP6PuQhTYrXDzuVSkVAQAD169fH19eXiIgIVqxYwZ07d5g2bZrOYKxWq5k4cSJ9+vShY8eOhIWFZQbjpUuX8s033/D999/nGIwhPXvZysqKNm3aYG+twLucEzXdrHh263zmKkPZsmXp3r07S5cuxYDvsiYVHh7Ow4cP6dSpU+ZrkiQRHR1N7dq1mTZtGmFhYTx48IAlS5ZQpkwZvv32W+rUqUOVKlUYN24cSqWSlJSUPN2/cuXKHDp0CEdHR1q1asWXaw8zeVM4KrXWqGAM6X83VWotkzeFsyDkWp7GIwglTfFeyyyGkpKS+O233/jhhx9ISkpKzwqu5MSpu3FG/1DT5cVCFebu8ePHLFy4kN9//51Hjx7RpUsX5syZg6+vr0Ezu4cPHzJw4ECOHj3KvHnz+PjjjzPP27lzJ++//z5jx45l0qRJuV5DqVTSsmXLLFt8nJycSElJISUlJTNT3c/Pj65du3L69GkaNWqUz09uOKVSiZ2dHS1atMh8LSkpCZVKlWV52tPTk1GjRjFq1ChSUlIIDQ3N3Fb122+/YWdnR/v27TPLeeb2TDgnnp6ehIaG0nrkF/xxKpK4E5tQPbhC6sOraFMScOsyHoe67bKdF3d6O/FndqJ+FomFrSN2r7bEueVQ5FY2JbY7mSAYS8yQC0lqaioLFy6kevXqTJkyhQEDBnDjxg1mzZrF7P4NUBiZ5auPvkIV5uLChQu8++67VKxYkR9++IFevXpx6dIldu7cSbt27QwKxgcPHqRBgwZcu3aNkJAQxo8fn3leWFgY/fv3p1u3bvzyyy+5Xi85OZkDBw5kmX1CetYzkKWaWceOHSlfvjzLli3L46fOG6VSSdu2bbM01NBXNtPGxoaOHTvy66+/cvPmTc6fP8/UqVOJjo7mvffeo3z58jRq1Ijp06dz6tSpbN20cpIst0NdrzfapFhij6wlLfoulu5Vcj3+aYg/T4MXY1W6Eq7tRmNXqznxp3fwePN3mcdM3XaBu3qK5AhCSScCcgHTaDSsWrWKV199lQ8++ABfX18uX77M77//njkzqehqx9cmfs5rTKGKwiZJEkqlko4dO1K7dm127drFtGnTuHv3LgsXLuSVV14x+DqzZ8/mzTff5JVXXuHMmTNZZo83btyga9eu1K1blzVr1ujc+3ro0CGSk5MNCsgWFhaMHDmSNWvWkJiYaMQnz7uEhAQOHz6cbXzG1LGWyWR4e3szadIkDh06RFRUFKtWraJGjRr8/PPP+Pj4UL58efz8/NiyZQsJCTnvcc/oTmbh4EaFcYFUGOuPS9uc636rE2KIC9uCvXdbyvT6glKvd8G1/Xu4+PqRcutvkq6dSD/u3+5kgvAyEwG5gEiSxNatW6lfvz5Dhw6lbt26nDt3jsDAQKpVq5bt+IE+XnzWoWZ+bwrAe008zXL5Lzk5mSVLluDt7U3nzp158uQJq1at4tatW3zxxRdGZQXHxsbSt29fJk6cyGeffUZwcDBly5bNfP/x48d07twZZ2dntm/frrdOtFKppHz58pnPnDNk1Ft+sTDGyJEjSUhIYP369QaPOT9CQkJIS0vLV0B+kZubG4MHD2bt2rVERUVx4MABhgwZwpEjR+jVqxdubm506tSJBQsWcPv2beC/7mQarYRMYYmFg+52j6n3L4NWg/1rrbK8bv9q+u8TLx0EsnYnE4SXlQjIBWDfvn00adKEnj174uHhwfHjx9m8eTO1a+tu3zeubQ1+6F0nX4UqtMf+YPN3Y0hOTs7PRzCphw8f8uWXX1KxYkXGjBlDrVq1CA0N5dSpUwwePNjoGszh4eH4+Piwd+9eNm/ezA8//JClk1RSUhI9evTg2bNn7N69m9KlS+u9plKppFOnTtmWtDNmyC8G5MqVK9O+fftCW7ZWKpVUq1aN6tWzFiExRacnAEtLS1q3bs1PP/3EpUuXuHbtGrNmzUKj0fDJJ59QpUoVateuzdh5azHmr6akSQNApsjat1pmmf771Mgbma9ldCcThJeVCMgmdOLECdq1a0e7dulJLXv37mXv3r00btzY4GsM9PFi74TWNKv6b8lMPT/9Mt5vVtWNvZ+0YcvcSZw/f57Ro0cXehbwi/755x+GDx9OpUqV+Pnnnxk8eDDXrl1j8+bNtGrVKk/bcAIDA2ncuDG2tracPn2anj17Znlfo9EwaNAgzp07x86dO3NcjXjRnTt3uHTpUrbZJ/w3Q36xIxakJ3cdPXqUixcvGv05jBUUFJTZTOJ50dHRKBQKk29HrF69Oh9//DHBwcE8efKEDRs24OPjw5V4BcbkHir+rbOeci/rfyPV3QsAaBL+q0Cn0UqEXI3K/+AFoZgSAdkEwsPD6dmzJ02aNCEyMpItW7Zw/PhxfH1983S9jEIVweNbMbRxJSq52fFi6JIBldzsGNq4EnsntCJwVGMqutrRoEED/P39WbVqFbNnz873ZzOWVqtl27ZttG3bltdff50DBw7w/fffc/fuXX7++WeDAmROVCoV77//PsOGDaN///4cO3Ys22xRkiQ++ugjtm/fzvr16zObL+gTFBSEhYVF5hep5zk6OiKTyXKs5dyjRw9Kly7N8uXL8/SZDHX9+nVu3LiR4xeG6OhoXF1d873HWBdHR0f69OnDr4uWYuFoXJUt67LVsSpXi7gTG0k4F4z62SOSb5wiWvkbyBVIaaosx0dEJ5GoUpty+IJQbIhtT/lw48YNpk2bxpo1a6hSpQqrVq1i4MCBJiucX8OjFNN7eDMdbxJVakpXeZWJk75gQL8+VHazz7UC14ABAwgPD2fSpEl4e3vTpUsXk4xHl4SEBFauXMn8+fO5fv06TZo04c8//6R3795ZlpPz4s6dO/Tr14+zZ8+yZMkS/Pz8cgxAs2bN4vfff2fx4sV07drV4OsrlUqaNGmSuTz9PLlcjqOjY44zZGtra4YNG8Yff/zBzJkzs2Q/m5JSqcTS0jLHDkkFVcc6J4Z0J8tJmV5f8GTrLKJ3/Zz+gkyO4xs9SYk4T1rM/SzHSsDt6ES8y4leycLLRwTkPLh//z7ffvsty5Yto0yZMvz++++MHDnSJP1oc2OjkJHy8DqVS2HQD6sZM2Zw/vx53n77bY4fP86rr75aIOO6e/cuCxYsYMmSJcTHx9OnTx8CAwNp0qSJSa6vVCoZPHgwpUqV4siRI7nu+129ejWTJ0/myy+/ZPTo0QZfPy0tjb179/L555/neoyTk1Ou3Y78/PyYO3cu27Zto1+/fgbf1xhKpZIWLVrk2AKxMAOyId3JcqIoVZqyQ2aRFnMfTeJTLF3KY+Hgwr0Fw7B0zb4HOq/3EYTiTixZGyE6OpqJEydSvXp11q9fz8yZM7l+/Tpjxowp0GAM6fuYAYPvI5fLCQwMpGLFivTo0YOnT5+adDwnT57k7bffpkqVKixevBg/Pz9u3rzJn3/+aZJgrNVq+frrr+nSpQuNGzfmzJkzuQbjffv28c477zB8+HBmzJhh1H2OHTtGfHx8jsvBGZydnXMNyK+++irNmzcvsOQulUpFSEhIruMrzICc365hlq7lsalYGwsHF1KfRKBJiMGmcn2T30cQiivxN98A8fHxzJgxgypVqrBo0SI+//xzbt68ycSJE/VupzGVjIBszLJoqVKl2Lp1KzExMQwYMAC1On/P5tRqNRs2bKB58+Y0btyYkydPMnfuXO7evctPP/2El5dptlpFR0fTtWtXvv76a2bMmMGOHTtwdXXN8dhz587Ru3dv2rRpw9KlS41+lrp7927KlCmTpXfyi5ydnXNcss7g5+dHcHBw5tYgUzp8+DBJSUm5BuSYmJhCC8gZ3cnyS5K0PAvxR2ZpTan6nbO8V5K6kwmCsYr9knWiSs3t6ERS1VqsFHKdz1aNlZKSwsKFC5k5cybx8fGMHTuWL774gjJlypjk+sZQqdKTX4ydiVerVo2//vqLDh06MHHiRObNm2f0vePi4li+fDm//PILt2/fplWrVmzevJnu3bubvNF8WFgYffv2JTExkaCgINq3b5/rsXfv3qVLly5UrVqVjRs35qn1YEaBkpzaN2bQtWQN0K9fPz766CNWrFhh9AzdkPF5enrm2tmqMGfIOXUnizu9HW1KIpqE9P7cyddPoo5P75vs2LA7cht7YoIXI2nSsHKviqRVk3gxlNQHV3HrNgGFU9ba5CWhO5kg5FWx/Juvr++ql6sdbWu5M7ixFzU8jK/lnJaWRkBAADNmzODhw4eMHDmSr776iooVK5rsMxgrLzPkDG+++SY///wz48aNo06dOowcmXNVpRfdunWLX375heXLl5OcnMzAgQPZuHGjztlkXkmSxOLFi/n44495/fXXWb9+vc4Z97Nnz+jcuTMWFhbs2rWLUqWM/3N++PAh//zzD5999pnO45ydnbl161au79vb2zNo0CBWrFjBtGnTTPolJWO7U24z/4ws68LStpY7gSfuZNZdjzuxGU3cf1uVkq4ehatHAXDwbovcxh4rj2rEndpK4oUDIJNh7VkTj7e/w6ZS3SzXtpDLaFtTdycvQSjJilVANrTv6p2YJAJP3CHg2G2j+q5qtVrWr1/P1KlTuXbtGgMHDmTGjBnUqFGjAD6N4RJVai4+jMPKsyaRKgWJKrXRs4ixY8dy7ty5zMIczZs3z/E4SZI4cuQI8+bNY8uWLTg7O/Phhx/ywQcfGNWEwBhJSUmMGTOGwMBAxo0bx5w5c3SuBKhUKnr16sX9+/c5evQonp6eebrvnj17kMlkdOjQQedxGW3TdPHz82Px4sUEBQWZLKv9/v37hIeH87///S/H9zUaDc+ePSu0GTLA4MZeBBy7nfn7CmNX6D3HoW67HBtOvKg4dicTBFMqNgH5+b6rgN7OSBnvH70ZTbt5oTr7rkqSxM6dO/nf//7HuXPn6NatG3/99Rf16tUz7YcwQk6rAJ7D5zL9uIqvjwcZvQogk8n49ddfuXTpEr179yYsLCzLDDQtLY0NGzYwd+5cTp06Ra1atfjtt98YNmxYgT4nv3btGn369OHGjRusXr2aQYMG6Txeq9UyYsQIjh07RnBwcL6yx5VKJQ0bNtT7CEJXUleGhg0bUq9ePZYtW2aygBwUFIRcLs9xfzTA06dPkSSpUANyDY9StKxemqM3o1/q7mSCUBCKRVLXgpBrBdZ3NTQ0lBYtWtC9e3dcXFw4cuQI27dvL7JgfDcmiaHLT9B+/kECT9zhzgtL8pB1FaD9/IMMXX7CoE45VlZWbNy4EVtbW3r27ElSUhJPnz7lxx9/pGrVqgwaNAhnZ2d27tzJxYsXGTNmTIEG402bNtGoUSNUKhUnT57UG4wBJk+ezJ9//smqVato2bJlnu+t0WjYs2ePzuzqDPqSuiD9C4+fnx/bt28nMjIyz+N6XlBQED4+PrkGXFOVzTTWzF51XtruZIJQkMw+IK8Li2D2nqtoU5N5dmg1j/6cyt35A7nzQzcSzu3N8RxJ0hJ/ZhcPVnxIxOze3J3/NpFrpjAzUMmfYem1ck+fPk3Hjh1p06YNKpWKoKAgQkJCaNasWWF+vCzWhUXQbl4oR2+m/6A1dhVgXZj+OsBlypRh69atXL58mXr16lG+fHmmTp1Khw4dOHfuHMHBwXTp0kVnklN+qdVqJk6cSJ8+fejQoQNhYWHZmjrk5Ndff+Wnn35i7ty59O3bN19jOHXqFDExMQYFZCcnJ+Li4tBoNDqPGzx4MAqFgj/++CNfY4P0/0bBwcE6x1dUAfll604mCIXFrAPy3Zgkpm1Lr3mrTYozqPcqQPTOn4nZuxirstVxaf8eTs0HonAsgyYplq+2nqf7wBE0atSIiIgINmzYQFhYGB06dCjQ8oP6FOQqQAZJkggJCeHLL78kOTmZ69ev07RpUyIiIli+fHmumbym9PDhQ3x9fZk/fz7z5s1j/fr1BtVh3rRpEx9//DGffPIJ48ePz/c4lEolTk5OBtUZz6jgFRcXp/M4FxcX+vbty7Jly/JdRzwsLIynT5+aZUAGE3Un+9fEDrXMsjuZIBQ2s36GnNF3FcDCwZUK4wKxcHBB9fAakSsn5HhO4qVDJJ7fR5leU7CrlX22q0pNI9ymNgEBAQwZMsTk23byImMV4EUpd87xaO2UHM8pO3Q21uWz9w2evecqZRyss/yAU6lUrFu3jnnz5nH27Flq167N8uXLuXXrFt9++y3Hjx/nrbfeMt0HysXBgwcZMGAAMpmMkJCQLL2LdTly5AiDBw+mX79+/PTTTyYZi1KppH379gaV9Xy+J7KLi+52g35+fqxatYqDBw/SunXrPI8vKCgIFxcXnfW4izIgQ3p3stIO1pm5HcZ8kbSQy1DIZczo4S2CsSD8y2wDckbf1QyG9F4FiAvbgpVnTexqNUOStEhpqcitbP67joUCPF+leedWZhGMn18FyE2pht2x8sw6G1G45J5ZPHXbBZpVK42NJpFFixbx+++/ExkZSZcuXZg9eza+vr7IZDK0Wi2XLl1iyJAhHDt2LNf2kPnd6y1JEnPmzGHy5Mm0bNmStWvXZuldrMuVK1fo0aMHb7zxBitXrjTJUnp0dDQnT57Ez8/PoONz64mck1atWlG9enWWLVuWr4Cc8YVB19/R6OhoHBwcCrxKnC4DfbxoXq203t0PGTLeb1bVzeDdD4LwsjDbgLz6RITef9wv0qqSSH1wlVINuvA0dCXxp3cgpSajcPLAuc0I7F9NTwLK6Ls63cTPwfLi+VWA3FhX9Mb+FcNmkwBpGi1vffcnl34fi0wmY9iwYYwfP55XXsk6o5bL5axcuZLmzZvTo0cPwsLCMmdbptrrHRsby8iRI9m0aROTJk3i22+/NbjZRGRkJJ06dcLDw4MtW7ZgY2Oj/yQD7N27F61Wm2M7w5zk1hM5JxnJXdOnT+eXX37RO6POScYXhvfee0/vcUU1O35eRneyzL8zV6OIiM7h74ybHW1rujOkiZfIphaEHJhtQA65EmX0s1T104eAROKlQyCX49LmHeTWdsSd2saTrbOQW9thW7VhZt/V6RRtQH5xFUAXrSoJmaU1Mrn+Wb1Wghgrd8ZN+ZbJY0fo/KFtb2/P1q1b8fHxoV+/fixbt5lp2y+bZK93eHg4ffr04dGjR2zevDlb72JdEhIS6Nq1KyqVigMHDuQpsOVGqVRSu3ZtKlSoYNDxunoi52T48OF8+eWXrFmzhg8++MDo8QUHByNJkt790eYSkDO82J2soCroCUJJZZZJXQkqNREGbON5kTYtOf1/k+Nw7/MVpRp0wd67DR5vf4fcthSxR//MPNYc+q5mrALoE73rZ+7O60/ET72IXPMFqoe5J25lsJDLsK/XyaAf2JUqVWLjxo2cfmZNu7mmyfJetWoVjRs3xtbWltOnTxsVjNPS0ujXrx/Xrl1j165dVKpUyeBz9ZEkCaVSaVB2dQZjlqwBypYtS/fu3Vm6dGmekruCgoKoU6cO5cuX13lcYdaxNpa9tQLvck687uWCdzknEYwFwQBmGZDz2ndVpkgvK6lw8sC6XK3M1+VWtthWfwPVg6tI2vStKxKwZd8Rzpw5w+XLl4mIiODJkyckJiai1RZO+ze9qwAWltjVaoar77uU6fMVzq2Gkvb4Do9WTyI18obOa2esAhjqrLosLh3HoUGeryzv+cGXGTt2LEOHDqV///4cO3aM6tWrG3wtSZIYM2YMe/fuZePGjdSvX9+osehz7ty5zKVwQ1lbW2Nra2vwDBnSk7vOnj3L6dOnjRqfMV8YzG2GLAhC/pjl19a89kO1cEiv6Su3d87+nr0zaNVIqSnIbNK7yYz0G03qw+zZzQA2NjbY2dlhZ2eHra1t5v/P6feGHPPi7yULK72rADYVXsWmwnOVqGo0xu6V5jxc/iFPQ1fiMUB3I4OMVQB9s5Pns7z1bf2KPfonzw4GYlnai3J+v2d7f/7+Gzw7cZslS5bg5+dn9FayGTNmsGLFClauXKmzsUReKZVK7OzsDM7wzqCvwcSLOnbsSPny5Vm2bFmubSNzkvGFwZDn29HR0QXW51oQhMJnlgE5r/1QFaXcsLB3yew88zxNfDQyhRUya9vM1zZtWI+njYakpCSSkpJITk7O/P+5vZbx+5iYGO7du5frMfpYuleh3Mhfjf6Mli7lsK3RmKSrR5G0Gp3PlCXgdnQi3uWccj3GkCzvDOq4J8QeW4/MUkdylSTh3ukDOvVpa3QwXrFiBdOnT+fbb79l2LBhRp1rKKVSyZtvvml0kw5Dymc+z8LCgpEjRzJ//nzmzJmDvb1hLQWDgoIM/sIgZsiCULKYZUDO6Lual2Vru1dbEn9qG8m3/sa2yusAaJJiSbp+AptKdZHJ0oO9DGjT0LtAnm1JkkRKSorOQH/liYrf9D8KzpHCsTRo1EhpKmTWureN6FttMCTLO8PTkOVYl6uFpNWiTc6lSIZMhgYZUzaHEzhKf9GNDLt372b06NG89957TJmS897r/IqPj+fw4cPMnz/f6HMNKZ/5opEjR/Ltt9/y119/MWLECIPOMeYLgwjIglCymGVAzqnvKhjWe9WpaT+SLh/m8eaZOPr0RG5tT/w/u0GjwbnVf7Ouguy7KpPJsLW1xdbWNtcfmBcexPLbtcN5ur76WWT6bN9K/zYgXasNxmR5p0ScJ+nyETzf+YWY4EU6j9VoJQ5df8L1qHiDtrecPn2afv360blzZxYsWFBgFdP27duHWq026vlxBmOXrAEqV65Mu3btWLZsmUEBOSEhgcOHDxvUszopKYmUlBQRkAWhBDHLpC5I77v6YgZy3InNxB5aRcLfu4D03quxh1YRe2gV2pQEACzsXfAYMgubyvWJO7WVZwcDUZRyw2Pw91h5VE0/xgz6rmasAuiiSco+I0t9dJOkayexqfx65mw/N7J/75MbQ7O8Ja2GmOBFONTrgJV7Zb3Hw397vfW5desWXbt2xdvbm3Xr1hm8RzkvlEolNWrUoFq1akafa+ySdQY/Pz+OHDnCpUuX9B4bEhJCWlqawc+PoeiqdAmCYHpmOUOG7H1XwbDeqwCWzmVx751zD1kwj76rua0CPO/xlh+RW1phXf5V5HZOpD25S8JZJTJLa1zajNB7D32rAIbu9U74ezfquMd4vP2d3mMzGLLXOzo6ms6dO+Pg4MD27dsNfs6aFxnZyz169MjT+U5OTly/ft3o89566y1Kly7N8uXLmT17ts5jlUol1apVMygrXQRkQSh5zHaGnNF31ZAZnDEs5DJaVi9tFpWCcloFeJ5dzSZokuKIO7mFmD0LSbp8CLuazfAcMQ/L0hV1XlvfKoChe701yXE8O7Qa52YDsLDLPTksJ7r2eicnJ9OjRw+io6NRKpW4uxfsisWVK1e4c+dOnparIe8zZGtra4YNG8bKlStRqVQ6jzVmf7QIyIJQ8pjtDBnS+662mxdq0kbo5tR3NadVgOc5NuqBY6O8zej0rQIYutf72cFA5LYOlGrU3egx5JblrdFoGDx4MH///TchISFG7VPOK6VSibW1dZ7rS+clqSvDqFGjmDt3Ltu2baNfv345HnP9+nVu3rxpcDlPEZAFoeQx2xkylPy+q0W5CmDIXu+0mPsk/BNEqYY90MTHoH72CPWzR0iaNCStBvWzR2iS43Ve48X7SJLEhAkT2Lp1K+vWrTOo/aEpKJVKWrVqledl8YykrrxU3nrttddo1qwZy5Yt0zk+S0tL2rZta9A1o6OjsbCwyKwiJghC8WfWARlKft/Vmb3qoDBxQDZkFcCQvd6a+GiQtDzdu5j7i0Zl/kp9cAV1zH3uLxpF7JG1Rt1nzpw5/Prrr/z22295fp5rrOTkZEJDQ/O8XA3pM2S1Wk1SkvElXSE9uSs4OJjbt2/n+L5SqaRly5Y4ODgYdL3o6GhcXV2LtIe3IAimZfYBGdL7rv7Quw7WCrnRs0kLuQxrhZwfe9fhg7YFvzRqrKJaBTAky9uyTCXK9P5ftl+Wpb2wcCxDmd7/w6Fu7g0QXszyXrduHRMnTuSLL75gzJgxRnyi/AkNDSUlJSXfARkMbzDxov79++Pg4IC/v3+291QqFSEhIQYvV4PYgywIJVGxCMiQPlPeO6E1zaqm/xDSF5gz3m9W1Y29E1qb3cz4eUWxCpCR5a2LhZ0TdjWbZvslt3VEbmWLXc2mOrdBPZ/lfeDAAYYPH87QoUP57jvDs7VNQalUUrFixXyVmTS2wcSL7O3tGTRoECtWrECj0WR57/DhwyQlJRn1hcGcG0sIgpA3xSYgw399V4PHt2Jo40pUcrPLNsuTAZXc7BjauBJ7J7QicFRjs3lmrEtRrALoy/LOj+ezvM+fP0/Pnj1p1aoVy5YtK/Rl1ozs5fzc15ieyLnx8/Pj3r177NmzJ9v4PD09qVPH8GTDjCVrQRBKDrPOss5NSe27OtDHi+bVSjNlc7jOfsQZMmpZN6vqlmM/Yn30ZXnnpuzgH/Qek5Hlfe/ePTp37pzZ4tHKysro++XHrVu3uHLlCjNnzszXdYztiZyThg0bUq9ePZYuXUrnzp0zX1cqlXTs2NGoLwzR0dG88soreR6LIAjmp1jNkHNS0vquGroKUM7RkvgzO/n01aQ8rwIUdJZ3GWstXbp0QSaTsWvXLhwdHU16H0MEBQVhYWGBr69vvq5jihmyTCbDz8+P7du3ExkZCcD9+/c5f/680c+3xTNkQSh5inf0KsEMWQVosnUq+zY94sNhOe9tNURB7fWe3u0Vevfuzd27dzl8+DDly5c32fWNoVQqadasWb63B9nb22NhYZGvGTLA4MGD+eyzz/jjjz/4/PPPCQoKQi6X065dO6OuIwKyIJQ8xX6G/DLIbRVg0KBB7Nq1i5iY7O0mDVUQWd7Tu7/GtE8/4PDhw2zZsgVvb9Ne31Cpqans27cvX9nVGWQyWZ4aTLzIxcWFvn37smzZssxynm+88YZRwVWj0fD06VMRkAWhhBEBuRjr378/Go2GjRs35us6ps7yPrd5EatXr+aPP/7Ic2UsUzh69CgJCQkmCciQ9/KZL/Lz8+PatWuEhISwd+9eo7Y7AZkFSkRAFoSSRQTkYqxs2bL4+vqyZs2afF/LVFneskt7+OGHH5g9ezYDBgzI97jyI6NGdv369U1yvfyUz3xe69atqV69Oj/99BNPnz7N0/NjEGUzBaGkEQG5mBs8eDChoaHcu3cv39fK2OvdtOq/22kk3eU1X9zrbfPgbz788EM+/vhjPvnkk3yPJ792795Nx44dkctN89fcFEvW8F9yV3BwMM7Ozvj4+Bh1vgjIglAyiYBczPXq1QsrKyvWrVtnkutVdLVjuFc8D5a+T4cqNgbv9b535SwDBw6kV69ezJkzp8hLOj548IBz586ZbLkaTLdkDTB8+HA0Gg1Vq1bFwsLCqHNFQBaEkklkWRdzjo6OdO/enTVr1vDZZ5+Z5JqLFy+mZllHFo9uh0wm07vX++rVq3Tv3p2GDRsSGBhodIApCEFBQchkMjp0yL20p7GcnJwytyvll6WlJQCPHz9GkiSj9yCDCMiCUNKIGXIJMGjQIP7++28uXbqU72tFRkaydetW3nvvvcwgoWuv96NHj+jcuTNlypRh27Zt2Nra5nsMpqBUKvHx8aF06dImu6YpZ8jBwcEA3L17lzNnzhh1bnR0NPb29lhbW5tkLIIgmAcRkEuALl264OTkxNq1ujsvGWLFihVYWloydOhQvccmJibSrVs3kpKS2L17t9mUclSr1QQHB5t0uRpMl9QF6V8YateuTfny5XW2ZcyJqGMtCCWTCMglgLW1NX379mX16tV56tebQavVsnTpUgYMGJBZmSo3arWaAQMGcPnyZXbu3EnlypXzfF9TCwsLy1P2sj6mSuqSJImgoCA6d+7MyJEjWbNmDYmJiQafL4qCCELJJAJyCTFo0CBu3rzJyZMn83yNPXv2cPv2bd577z2dx0mSxNixY1EqlWzYsIEGDRrk+Z4FQalU4uLiYnT2sj7Ozs4kJSWRlpaWr+ucO3eOyMhIOnXqxMiRI4mPj2fDhg0Gny8aSwhCySQCcgnRunVrPD0987UnefHixdStW5fGjRvrPO67775j6dKlLF261OiiFoVBqVTSvn17FArT5izmtydyBqVSiZ2dHc2bN6dy5cq0a9eOpUuXGny+mCELQskkAnIJYWFhwdtvv826detQq9VGn//gwQO2b9+eJZkrJwEBAXz11Vd8/fXXvPPOO/kZcoF48uQJYWFhJl+uhvz3RM4QFBTEm2++mZmU5efnx5EjRwxOyhMBWRBKJhGQS5BBgwYRFRXF/v37jT53+fLlWFtbM3jw4FyP2bNnD++++y5+fn589dVX+RlqgQkODkaSpAKZuZui41N8fDyHDx/O8oXhrbfews3NjeXLlxt0DRGQBaFkEgG5BGnQoAE1a9Y0etlao9GwdOlSBg4cmGtXpL///ps+ffrQoUMHFi5cWOSFP3KjVCqpW7cu5cqVM/m1TbFkHRISQlpaWpaAbG1tzbBhw1i5ciWpqal6ryECsiCUTCIglyAymYxBgwaxadMmkpOTDT5PqVRy9+7dXJO57ty5Q5cuXahVqxZ//vmnyZ/NmopWqyUoKKhAlqvBNEvWQUFBVKtWjWrVqmV53c/PjydPnrBt2zad5ycnJ5OcnCwCsiCUQCIglzCDBg0iPj6eHTt2GHzOkiVLqF+/fo5ZyTExMXTq1AlbW1t27tyJg4ODKYdrUmfPnuXRo0cFFpAdHR2BvM+QJUli9+7dOY7vtddeo1mzZnr3JIsqXYJQcomAXMLUqFEDHx8fg5et7927x44dO3JM5kpJSeGtt97i8ePHKJVKPDw8CmLIJqNUKrG3t6d58+YFcn2FQoGDg0OeZ8jXr1/n1q1buX5h8PPzY8+ePdy5cyfXa4iALAgllwjIJdCgQYPYtWsXT58+1Xvs8uXLsbW1ZdCgQVle12q1DB06lFOnTrF9+3Zq1jRNv+SCpFQq8fX1xcrKqsDukZ/ymUqlEktLS9q0aZPj+/369cPBwYEVK1bkeg0RkAWh5BIBuQQaMGAAarWaTZs26TxOrVazbNkyBg0alLkcm+HTTz9l48aNrF27lqZNmxbkcE0iNjaWo0ePFthydYb8lM8MCgqiZcuWuS77Ozg48Pbbb7NixQo0Gk2Ox4iALAgllwjIJZCnpydvvvkmq1evBiBRpebCg1j+jnjKhQexJKrS9ynv3r2be/fuZUvmmjdvHvPnz+fXX3+lZ8+ehT38PNm/fz9qtbrAC5XktXxmSkoKISEher8w+Pn5ce/ePfbs2ZPj+zExMcjl8lyz4QVBKL7MM11WyLf2fYby48ajNP8hmAexqTxf4VoGeLnaEX/1PPVadaJhw4aZ761fv55PPvmESZMm8cEHHxT6uPNq9+7d1KxZk6pVqxboffK6ZH348GGSkpL0fmFo1KgRdevWZdmyZXTu3Dnb+xllM+Vy8V1aEEoa8a+6hLkbk8TQ5Sf4/Y4bDg26cP+FYAwgAXdikoh29eZZs3EMXX6CuzFJHDx4kKFDhzJo0CBmzpxZFMPPE0mSUCqVBb5cDXlfsg4KCsLT05M6deroPE4mk/Huu++ybds2Hj16lO19UcdaEEouEZBLkHVhEbSbF8rRm+nPGWVyC53HZ7x/9GY0vnMP0HfSPJo3b86KFSuK1Qzs0qVL3L17N8cZpanldck64wuDIQVVBg8ejIWFBX/88Ue290RREEEouYrPT11BpwUh15i8KRyVWotGa1wLRo1WQqXWYtfGjy4Tfyl2je+VSiU2Nja0bt26wO+VlxnyvXv3OH/+vMHPt11cXOjbty/Lli3LbKeZkQdwN8kCu/I1M/MABEEoOcQz5BJgXVgEs/dcRZuaTNyJTageXCH14VW0KQm4dRmPQ9122c5Je3KXmH1LUd27iMxCgW01H1x8/Vhw8A4VSzsywMerCD5J3iiVSlq3bo2trW2B3ysvM+Q9e/Ygl8tp1y77n0Nu/Pz8WK88yOjFwVyNtyQiJin90UO13gDUnh6El6sdbWu5M7ixFzU8Shk1JkEQzI+YIRdzd2OSmLbtAgDapDhij6wlLfoulu5Vcj1HHfeEyNWTUD99iHPrYTi+0ZvkG2E8WvclkiaNqdsucDcmqbA+Qr4kJiYSGhpaKM+P4b8ZslarNfgcpVLJG2+8YfBS892YJJbdsKXcuwsJvq3iTkYwfk5GHkDgiTu0n38wMw9AEITiSwTkYm7K5nDU/y5RWzi4UmFcIBXG+uPSdmSu58QeW4+UpsLj7e9wbNQDp2b9Kd1zMmlRt0gI34daKzFlc3hhfYR8CQ0NJTU1tVADsiRJJCQkGHS8Wq0mODjY4PFl5AEc+zcPAJnuf6IZjyeO3oym3bxQ1oVFGHQfQRDMjwjIxdi1R/Ecuv4k84eyTGGJhYOL3vOSrhzFtroPCif3zNdsK9dH4VqepEuH0GglDl1/wvWo+AIbu6kolUoqVapErVq1CuV+xjaYCAsL49mzZwY9PzZFHsDkTeEsCLlm1LmCIJgH8Qy5GFt9IgILucyoH97q+Cdok55hVbZ6tvesPWuSfOMUABZyGauORzC9h7fJxlsQjMleNoXneyJ7eel/zq5UKnFxccmxccfz1oVF8N3KHSSG7yMlIhx17CPkto5Yl6uFc6uhWLqWzzxW9eAKCeH7SH1whdTHt0GrodLk/5qJzN5zlTIO1sUqD0AQBDFDLtZCrkQZP5NKSK9vbeGQfS+rhYML2pR4JHUaGq1EyNUok4yzoNy4cYNr164V2nI1GN8TWalU0qFDBywsct+ClpEHEHd8A0lXjmJTqR4u7UbjUK8jKXfP89D/4/TA+6/kG6dIOLsHZDIUzmVzvGZxygMQBCGdCMjFVIJKTUQefuBKahUAMgvLbO/JLKyyHBMRnWTW22uCgoJQKBS8+eabhXZPY5asnzx5QlhYmN7l6ow8gFI+vSg/dgWu7d+jVL2OODcfSNnBPyJpNcQd35B5fKkGXag44U88R8zHtnL9HK9ZnPIABEFIJwJyMXUnOjFb5q0hZIr0PcaSJi3be5ImNesxwO3oxLwOscAplUqaN2+erTFGQXp+yVqfvXv3IkmSzoD8fB6ATYVXs31RsnQtj1VpL9Ke3M18zcLeBbml7r3ixSkPQBCEdCIgF1OpasO33TwvI+lLkxCT7T1NwlPkNqWQKf4LCnm9T0FTqVTs37+/UJerAWxsbLCysjJoyVqpVFK3bl3KlSuX6zEZeQC5kSQJTdIz5HbGf+nIyAMQBKF4EAG5mLJS5O2PTlGqNHI7J1Ijr2d7T/XwKlYeWfcv5/U+Be3IkSMkJiYWekAGwxpMSJJEUFCQ3uVqfXkAiRcOoImPxv6VlkaPszjkAQiC8B/z/Gkr6FXZzZ685hXb1WpG8vUw1HGPM19Lvv0P6pj72L3SIvM12b/3MUdKpZKyZctSr169Qr+3IeUzz507R2RkpM4vDPryANKi7xITvBDr8q9gX8c3T2M19zwAQRD+I7Y9FVP21gq8XO2488IP9LjT29GmJGYuSSdfP4k6/gkAjg27I7exx6lpf5IuH+HRmimUatQDKS295KZlmco41GmfeS0vNzvsrc3zr4hSqaRjx46Ftt3peYaUz1Qqldjb29O8efNcj9GVB6BJeErUX18jt7andM8v9DYKyU1GHoB3OdE/WRDMnXn+tBUM0raWO4En7mRZ8ow7sRlN3H/LlElXj8LVowA4eLdFbmOPwrEMHoO+5+n+ZTwLDUAmV2Bb3QeXN0dlPj+2kMtoW9Mdc3T//n3Cw8OZMmVKkdzfkCVrpVJJ27ZtdTbqyO35vDYlkUfrp6FNScRjyI8oSuWvu5O55gEIgpCVCMjF2ODGXgQcu53ltQpjVxh0rlWZSngM+CbX9zVaiSFNzLOwhFKpRC6X0759e/0HFwB9ATk+Pp4jR44wb948ndfJ6fm8pE4lasMM1E/v4zHwW6xK5//PwFzzAARByEr8Sy3GaniUomX10jqzdPPCQi6jZfXSVHc3zw5CxjZrMDV9S9YhISGkpaXpTTh7MQ9A0mp4vOVHVA8uU6bnZKzLv5rvsZpzHoAgCFmJGXIxN7NXHdrNCzW6YpcuCrmMmb3qmOx6ppTRrGHChAlFNgZ9M2SlUkn16tWpVq2azuu8mAfwdP9ykq+fwLb6G2iSE0g4H5LleIfabQFQx0aRcH4/AKp/s+WfHVkHgMLJHYfa/xVKMec8AEEQshL/Uou5iq52fN3Dm8mbTFeVaUYPbyq62pnseqZ04sQJYmNji2S7UwYnJ6dcs6wlSUKpVNKlSxeDrvV8HkDqo5tAeiJe8vWT2Y7NDMjPIok9tCrLexm/t65YOzMgm3MegCAI2YmAXAIM9PHiSYKK2Xuu5vtaEzvUMuumBEqlEldXVxo1alRkY9A1Q75+/Tq3bt0y+AvD83kAZQf/YNA5NpXqZmkmkRtzzgMQBCE78Qy5hBjXtgY/9K6DtUJu9DNlC7kMa4WcH3vX4YO22btAmRNDmjUUNGdnZ1JTU0lJScn2nlKpxMrKijZt2hh0rZc1D0AQhOxEQC5BBvp4sXdCa5pVTU920vdDPuP9ZlXd2DuhtVnPjAGioqI4depUkS5Xg+4GE0qlkhYtWuDg4GDw9Wb2qoPCxAHZnPMABEHImQjIJUxFVzsCRzUmeHwrhjauRCU3u2wVvWRAJTc7hjauxN4JrQgc1dhsnxk/Lzg4GIAOHToU6ThyazCRkpLCgQMHjP7CkJEHYErmnAcgCELOxDPkEqqGRymm9/BmOt4kqtTcjk4kVa3FSiGnspt9sci8fXHcO4P2Ur9+fTw9PYt0XLn1RD58+DBJSUl5msG/THkAgiDkzPx/Kgv5Zm+tKDalE689imf1iQhCrkQREZOUpbSkVK4Ppcp3Zfq2Cwxu7EUNj6J5PprbkrVSqaRcuXLUrl07T9cd17YGpR2smbbtAmqtZNRWNgu5DIVcxowe3iIYC0IxJQKyYBbuxiQxZXM4h64/wUIuyzEYyWQyErAl8MQdAo7dpmX10szsVafQl2ZzW7LO6O6Un/raA328aF6ttN7/Fhky3m9W1a1I/lsIgmA6IiALRW5dWETmrBDQOzPMeP/ozWjazQvl6x7eDCzEWaGDgwMymSzLkvW9e/c4f/48X331Vb6vn5EHkLlacDWKiOisqwUy0ot+tK3pzpAmXiKbWhBKABGQhSK1IORanp+bav5d1p28KZwnCSrGta1h4tHlTC6XZyufGRQUhFwup127dia7T0nIAxAEwXDiX7RQZNaFRTBrx1niTmxC9eAKqQ+vok1JwK3LeBzqZg1sqgdXSAjfR+qDK6Q+vg1aTZbiGLP3XKWMg3WhPT91Ku3OrWdp/B3xFCuFnF179vHGG2/g6upaIPcrTnkAgiDkjQjIQpG4G5PEtG0X0CbFEXtkLRaOZbB0r4IqIucSoMk3TpFwdg9W7pVROJdFHXM/2zFTt12gWbXSBfYc9fmEM/rMYbckY/fC9NaWUpVBOFZVFXnCmSAIxZcIyEKRmLI5HLVWwsLBlQrjArFwcEH18BqRK3NuGlGqQRccm/RFbmlNzJ6FxOcQkNVaiSmbwwkc1dikY80x4eyFxC2ZTEY8NkWecCYIQvElCoMIhe7ao3gOXX+CRishU1hi4eCi9xwLexfkltY6j9FoJQ5df8L1qHhTDZV1YRG0mxfK0ZvRmffQNwb4L+FsXViEycYiCELJJgKyUOhWn4gwee3mDBZyGauOmyYILgi5xuRN4ajUWqPbW2q0Eiq1lsmbwlkQcs0k4xEEoWQTS9ZCoQu5EmXS/s3P02glQq5GMZ38laI0JuHszg/dcr2OTeX6zObbQk04EwSheBIBWShUCSo1ETFJBXqPiOgkElXqPG8LMjbhzK3bp9leS428RvypbdhUeR0o+IQzQRCKPxGQhUJ1JzqRgpkb/0cCbkcn5nmbkLEJZw6122Z7LToiHJBh/2proOASzgRBKDnEM2ShUKWqtWZ9n7wknL1IUqeRdOUI1l61UTiWBgom4UwQhJJFBGShUFkpCuevXF7vY4qEs+QbYWhVidh7t8nyuikTzgRBKHlEQBYKVWU3+2z9mU1N9u998sIUCWeJFw+AhSX2tZpneT0j4UwQBCEn4hmyUKjsrRV4udpx57nErrjT29GmJKJJiAEg+fpJ1PFPAHBs2B25jT3q2CgSzu8HQBV5HYBnR9YBoHByx6H2m5nX83Kzy1NClykSzrSqJJJvnMK2WiPkNg7Z3s9vwpkgCCWX+KkgFLq2tdwJPHEncyYad2Izmrj/Zo5JV4/C1fSSlA7ebdMD8rNIYg+tynKdjN9bV6ydGZAt5DLa1nTP07hMkXCWdOUIkjoV+9fa5Ph+fhPOBEEouURAFgrd4MZeBBy7nfn7CmNX6D3HplLdLM0kcqPRSgxpkrf9vqZIOEu8cACZtT121d8o0PsIglDyiGfIQqGr4VGKltVLm7xal4VcRsvqpfPcGzi/CWfqhBhSIsKxq9UMmcKywO4jCELJJH4yCEViZq86KEwckBVyGTN71cnz+flNOEu6eBAkba7L1ZC/hDNBEEo2sWQtFImKrnZ83cObyZtyrn6VFzN6eOerElZeE84yJF48gIWDKzaVcv9SkNeEM0EQSj7xk0EoMgN9vHiSoGL2nqv5vtbEDrVMUis6LwlnAGnR90iNvE4pn57IZDkvPOUn4UwQhJJPJkmS3sTSuLg4nJyciI2NxdHRsTDGJbxE1oVFMG3bBdRayag9wBZyGQq5jBk9vE3WuOHao3jazz9okmvlZO+EVnl+xi0IQvFkaAwVz5CFIjfQx4u9E1rTrKobgN5kr4z3m1V1Y++E1ibtomSuCWeCIJR8YoYsmJVrj+JZfSKCkKtRREQnZdkXLCP9GWzbmu4MaeJVYMHtbkwS7eaFojLh9iRrhZy9E1qLbk+C8BIyNIaKgCyYrUSVmtvRiaSqtVgp5FR2sy+0hKh1YREmTTj7sXcd0Q9ZEF5ShsZQkdQlmC17a0WRVbQyx4QzQRBKNhGQBSEX49rWoLSDtdkknAmCULKJpC5B0MGcEs4EQSjZxAxZEPSo6GpH4KjGZpFwJghCySWSugQhD4oy4UwQhOJFJHUJQgEqyoQzQRBKJvEMWRAEQRDMgAjIgiAIgmAGREAWBEEQBDMgArIgCIIgmAERkAVBEATBDIiALAiCIAhmQARkQRAEQTADIiALgiAIghkQAVkQBEEQzIAIyIIgCIJgBkRAFgRBEAQzIAKyIAiCIJgBEZAFQRAEwQyIgCwIgiAIZkAEZEEQBEEwAyIgC4IgCIIZEAFZEARBEMyACMiCIAiCYAZEQBYEQRAEMyACsiAIgiCYARGQBUEQBMEMiIAsCIIgCGZABGRBEARBMAMiIAuCIAiCGVAYcpAkSQDExcUV6GAEQRAEoaTJiJ0ZsTQ3BgXk+Ph4ACpWrJjPYQmCIAjCyyk+Ph4nJ6dc35dJ+kI2oNVqefDgAaVKlUImk5l0gIIgCIJQkkmSRHx8POXKlUMuz/1JsUEBWRAEQRCEgiWSugRBEATBDIiALAiCIAhmQARkQRAEQTADIiALgiAIghkQAVkQBEEQzIAIyIIgCIJgBkRAFgRBEAQz8H+flLQU0djPrwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G,\n",
    "                 pos = pos) \n",
    "plt.savefig('空手道俱乐部图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a5799be4-d1de-49c7-838e-cc77cfd7a55b",
   "metadata": {},
   "outputs": [],
   "source": [
    "L = nx.laplacian_matrix(G).todense()\n",
    "# 拉普拉斯矩阵\n",
    "\n",
    "lambdas,V = np.linalg.eig(L)\n",
    "# 特征值分解\n",
    "\n",
    "# 按特征值有小到大排列\n",
    "lambdas_sorted = np.sort(lambdas)\n",
    "V_sorted = V[:, lambdas.argsort()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b941c8a8-6228-40d2-9c83-1e69e95e6978",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(L,cmap = 'RdYlBu_r',\n",
    "            square = True, \n",
    "            xticklabels = [], yticklabels = [])\n",
    "plt.savefig('L热图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0072c14f-6438-46c4-ae9e-f55598c51bad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(V_sorted,cmap = 'RdYlBu_r',\n",
    "            square = True,\n",
    "            xticklabels = [], yticklabels = [])\n",
    "plt.savefig('V热图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "18dcba53-6ab5-4898-8a78-410d23e08cd8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAGOCAYAAAAaSzPhAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAXbUlEQVR4nO3df5BXZ70f8M8ugS8xsEvAZDcRUawxkGSSNBhhm5iruHGHWpqUrTemacUMo1OzMIbVaneqgUx1NmOnIToCcRyEayuDob2JRZ1kdNNAjSwhS5lJtDKJEweV7KK5FxRavlD223/uXfs1Pzhn82x29/H1mjl/7NmHc57zD599f87zfb4NtVqtFgDAa2oc7wkAwGSgYAJAAQomABSgYAJAAQomABSgYAJAAQomABSgYAJAAQomABRwXtGB1y3eNJbzAGCMHdh315hef3vD5cmu9S9qh5JdK5XCBRMAXktj5j3LzB8PANKQMAFIIveEqWACkETuBTPzxwOANCRMAJLIPWEqmAAk0dgw3jMYW5n/PQAAaUiYACSRe0s288cD4I3S2JjuKGP9+vXR0NBQdyxYsGDk96dOnYqurq6YM2dOzJgxIzo7O2NoaKj0841JwjxvxrTCY//vidNjMQUA3mDjmTCvvPLK+NGPfjTy83nn/bG8rV27Nr7//e/Hzp07o7m5OVavXh0rVqyIJ598stQ9tGQBmPTOO++8aG1tfdn548ePx5YtW2L79u2xdOnSiIjYunVrLFy4MPr7+2PJkiWF76ElC0AS49WSjYh47rnn4tJLL413vOMdcccdd8Thw4cjImJgYCDOnDkT7e3tI2MXLFgQ8+bNi71795a6h4QJQBIpW7LVajWq1WrduUqlEpVK5WVjFy9eHNu2bYvLL788Xnzxxbj33nvjve99bzz77LMxODgY06ZNi1mzZtX9m5aWlhgcHCw1JwkTgAmnt7c3mpub647e3t5XHLts2bL48Ic/HFdffXV0dHTED37wgzh27Fg89NBDSeckYQKQRMqE2dPTE93d3XXnXildvpJZs2bFu971rnj++efj5ptvjtOnT8exY8fqUubQ0NArvvN8LRImAEmkfIdZqVSiqamp7ihaME+cOBG/+MUv4pJLLolFixbF1KlTo6+vb+T3hw4disOHD0dbW1up55MwAZjUPvOZz8Ty5cvjbW97Wxw5ciTWrVsXU6ZMidtvvz2am5tj1apV0d3dHbNnz46mpqZYs2ZNtLW1lVohG6FgApBIQ8P4bCb761//Om6//fZ46aWX4qKLLoobb7wx+vv746KLLoqIiA0bNkRjY2N0dnZGtVqNjo6O2LRpU+n7NNRqtVqRgdctLn5xGxcATDwH9t01ptff/ZYF5x5U0F/85ufJrpWKd5gAUMCYtGTLpMbz3zKz8Nj/85s/jGY6ALwBct983TtMAJJQMAGggNwLZuaPBwBpSJgAJJF7wlQwAUgi94KZ+eMBQBoSJgBJ5J4wFUwAksi9YGb+eACQhoQJQBKN47P3+htm3Atmme3uLvgHFxYad/IXfzva6QAwSlqyAMD4J0wA8pB7wlQwAUhCwQSAAhozX/WT+d8DAJCGhAlAEg1T8k6YCiYASTRoyQIAEiYASeSeMCdVwSy6g0/RHYHKXBOA15b7O0wtWQAoYFIlTAAmLi1ZAChASxYAkDABSCP3rfEUTACS8A4TAArwDhMAkDABSKMh8y/EVDABSCL3lmyWBbPMdnczLptdeOyJ5/5mNNMBIANZFkwA3nhWyQJAAbkXzLzf0AJAIhImAElY9AMABeS+NZ6WLAAUIGECkETui34UTACS8A4TAArIPWF6hwkABfzZJ8wy293ZRg/g1WnJAkABuX9bSd5PBwCJSJgAJJH7oh8FE4AkGjN/h6klCwAFSJgAJKElCwAF5P6xEi1ZAChAwgQgCS1ZACgi85asgllCme3umq66uPDY3z97dDTTAZhQck+Y3mECQAESJgBpTMk7gymYAKShJQsAKJgAJNEwpSHZMVr33XdfNDQ0xN133z1y7tSpU9HV1RVz5syJGTNmRGdnZwwNDZW+toIJQBqNDemOUdi/f398/etfj6uvvrru/Nq1a2PXrl2xc+fO2L17dxw5ciRWrFhR/vFGNSsAmEBOnDgRd9xxR3zjG9+ICy+8cOT88ePHY8uWLXH//ffH0qVLY9GiRbF169b4yU9+Ev39/aXuoWACkMaUhnRHSV1dXfGhD30o2tvb684PDAzEmTNn6s4vWLAg5s2bF3v37i11D6tkAUgi5cYF1Wo1qtVq3blKpRKVSuVlY3fs2BEHDhyI/fv3v+x3g4ODMW3atJg1a1bd+ZaWlhgcHCw1JwkTgAmnt7c3mpub647e3t6XjfvVr34Vn/rUp+Lb3/52TJ8+fUznJGGOkTLb3dlGD8hCwo0Lej7XE93d3XXnXildDgwMxNGjR+O6664bOXf27NnYs2dPfO1rX4vHHnssTp8+HceOHatLmUNDQ9Ha2lpqTgomAEmkbMm+Wvv1T33gAx+IZ555pu7cnXfeGQsWLIjPfe5z8da3vjWmTp0afX190dnZGRERhw4disOHD0dbW1upOSmYAKQxDt9WMnPmzLjqqqvqzl1wwQUxZ86ckfOrVq2K7u7umD17djQ1NcWaNWuira0tlixZUupeCiYAWduwYUM0NjZGZ2dnVKvV6OjoiE2bNpW+joIJQBoT5Pswn3jiibqfp0+fHhs3boyNGze+rusqmAAk4fswAQAJE4BEJkhLdqwomACk0Zh30zLvpwOARCRMAJJ4Pd9jORkomBNAme3uZv3D4ls5Hfuf5TYWBnhdrJIFACRMANLQkgWAc8t94wIFE4A0En6910SU99MBQCISJgBpeIcJAOeW+ztMLVkAKEDCBCANLVkAKCDzlqyCOcmU2e7uwve8pfDYv33qN6OZDsCfDQUTgCRsvg4ARfg+TABAwgQgjcwTpoIJQBoKJgAUkPnHSvL+cwAAEpEwAUhDSxYAClAwmazK7N4zu21uoXF/s/fXo50OwKSmYAKQhoQJAAVkXjDzfjoASETCBCCNzBOmgglAGpkXzLyfDgASkTABSCPzrfEUTADSyLwlq2ACkEbmBTPvpwOARCRMIqL4lndzbnhr4Wu+9OSvRjsdYBJqaMg7gymYAKShJQsASJgApJF5wlQwAUgj889h5v3nAAAkImECkIaWLAAUkHnBzPvpACARCROANDJPmAomAGkomPBHZba7e/NN8wqP/d2ew6OZDjCRZF4w8346AEhEwgQgjcw3LlAwAUhDSxYAkDABSCPzhKlgApBG5gUz76cDgEQkTADSaMg7gymYAKShYAJAAZm/w1QwGTNltrtrWTq/8Nihx18YzXSATG3evDk2b94cv/zlLyMi4sorr4x77rknli1bFhERp06dik9/+tOxY8eOqFar0dHREZs2bYqWlpZS98n7zwEA3jgNDemOEubOnRv33XdfDAwMxNNPPx1Lly6NW265JX76059GRMTatWtj165dsXPnzti9e3ccOXIkVqxYUfrxJEwA0hind5jLly+v+/lLX/pSbN68Ofr7+2Pu3LmxZcuW2L59eyxdujQiIrZu3RoLFy6M/v7+WLJkSeH7SJgAZOPs2bOxY8eOOHnyZLS1tcXAwECcOXMm2tvbR8YsWLAg5s2bF3v37i11bQkTgDQSJsxqtRrVarXuXKVSiUql8orjn3nmmWhra4tTp07FjBkz4uGHH44rrrgiDh48GNOmTYtZs2bVjW9paYnBwcFSc5IwAUijsTHZ0dvbG83NzXVHb2/vq9768ssvj4MHD8a+ffvik5/8ZKxcuTJ+9rOfJX08CROACaenpye6u7vrzr1auoyImDZtWrzzne+MiIhFixbF/v374ytf+Urcdtttcfr06Th27FhdyhwaGorW1tZSc5IwAUijoTHZUalUoqmpqe54rYL5p4aHh6NarcaiRYti6tSp0dfXN/K7Q4cOxeHDh6Otra3U40mYAKQxTqtke3p6YtmyZTFv3rz4wx/+ENu3b48nnngiHnvssWhubo5Vq1ZFd3d3zJ49O5qammLNmjXR1tZWaoVshIIJwCR39OjR+OhHPxovvvhiNDc3x9VXXx2PPfZY3HzzzRERsWHDhmhsbIzOzs66jQvKaqjVarUiA69bXP7iUJSdfmDsHdh315hev/bSf0p2rYY5/yrZtVKRMJkQyhTBeR+6rPDYw99/bjTTAUbD5usAUEDmm6/n/XQAkIiECUASDVqyAFBA5gUz76cDgEQkTADSyDxhKpgApFHyi58nm7z/HACARCRMANLI/HOYCiYAaXiHCRNLme3u3rliYeGxz//1/xrNdIA/EwomAGlImABQgIIJAAVkvugn76cDgEQkTADS0JIFgALs9AMASJgApKElCwAFZF4w8346AEhEwiRrZba7W3LX9YXH9m/aP5rpQNZqCRPmRFw+pGACkEStlrBgTsCKqSULAAVImAAkUYsp4z2FMaVgApBEypbsRHyJqWACkEQt87d8eT8dACQiYQKQxHDKluwEpGACkETui37y/nMAABKRMAFIIukq2QlIwYS/U2a7u7/49D8qPHb3f/zJaKYDk45VsgCAhAlAGsOZZzAFE4Akcn+HmffTAUAiEiYASeT+OUwFE4Akcm/JKpgAJOFjJQCAhAlAGjZfB16mzO497/83NxQa99//w5OjnQ5MCLkv+sn7zwEASETCBCAJq2QBoACrZAEACROANLRkAaCAYatkAQAJE4AktGQBoIDcV8kqmAAkIWECr0vRLe9W/PsPFL7mX3+hb7TTAUZJwQQgidxXySqYACSRe0s276cDgEQkTACSsEoWAAoYrtXGewpjKu8/BwDIXm9vb1x//fUxc+bMuPjii+PWW2+NQ4cO1Y05depUdHV1xZw5c2LGjBnR2dkZQ0NDpe6jYAKQxHAt3VHG7t27o6urK/r7++OHP/xhnDlzJj74wQ/GyZMnR8asXbs2du3aFTt37ozdu3fHkSNHYsWKFaXuoyULQBLj1ZJ99NFH637etm1bXHzxxTEwMBA33XRTHD9+PLZs2RLbt2+PpUuXRkTE1q1bY+HChdHf3x9LliwpdB8JE4CsHD9+PCIiZs+eHRERAwMDcebMmWhvbx8Zs2DBgpg3b17s3bu38HUlTACSKNtKfS3VajWq1WrduUqlEpVK5bXnMDwcd999d9xwww1x1VVXRUTE4OBgTJs2LWbNmlU3tqWlJQYHBwvPScGECaLMdnf//Evt5x70d/7Lv/vRaKYDpaVsyfb29sa9995bd27dunWxfv361/x3XV1d8eyzz8aPf/zjZHP5ewomAEmkLJg9PT3R3d1dd+5c6XL16tXxve99L/bs2RNz584dOd/a2hqnT5+OY8eO1aXMoaGhaG1tLTwn7zABmHAqlUo0NTXVHa9WMGu1WqxevToefvjhePzxx2P+/Pl1v1+0aFFMnTo1+vr+2MU5dOhQHD58ONra2grPScIEIImz47RvQVdXV2zfvj2++93vxsyZM0feSzY3N8f5558fzc3NsWrVquju7o7Zs2dHU1NTrFmzJtra2gqvkI1QMAFIZLw+VrJ58+aIiHjf+95Xd37r1q3xsY99LCIiNmzYEI2NjdHZ2RnVajU6Ojpi06ZNpe6jYAIwqdUKFOrp06fHxo0bY+PGjaO+j4IJQBIpP1YyESmYACRh83UAQMIEIA0tWQAoIPeWrIIJk1CZ7e5WP/hPC4/92r/+b6OZDvxZUDABSELCBIACvMMEgAJyT5g+VgIABUiYACShJQsABWjJAgASJgBp5J4wFUwAksj9HaaWLAAUIGFC5spsd9e95Z8VHnv/qodHMx0ydlZLFgDOTUsWAJAwAUjDKlkAKEDBBIACvMMEACRMANLQkgWAAoaHx3sGY0tLFgAKkDABSGI481U/CiYwosx2d/c99JHCY//tX+4YzXSYZHJ/h6klCwAFSJgAJHFWSxYAzi33d5hasgBQgIQJQBK5L/pRMAFIIveWrIIJQBK5F0zvMAGgAAkTgCRyT5gKJgBJWPQD8ArKbHe37QcrC4/92D/+q9FMB8acgglAEnb6AYACcn+HaZUsABQgYQKQRO4JU8EEIIncV8lqyQJAARImAEloyQJAAQomABRw1jtMAEDCBMZcme3udj3+LwuPXb70P49mOoyR4eHxnsHYUjABSCL3d5hasgBQgIQJQBK5J0wFE4Ak7PQDAEiYAKShJQsABeT+BdJasgBQgIQJQBJasgBvoDK79/xwz/JC426+addop0MJVskCQAHDw7VkRxl79uyJ5cuXx6WXXhoNDQ3xyCOP1P2+VqvFPffcE5dcckmcf/750d7eHs8991zp51MwAZjUTp48Gddcc01s3LjxFX//5S9/Ob761a/Ggw8+GPv27YsLLrggOjo64tSpU6XuoyULQBLj9Q5z2bJlsWzZslf8Xa1WiwceeCA+//nPxy233BIREd/61reipaUlHnnkkfjIRz5S+D4SJgBJjFdL9rW88MILMTg4GO3t7SPnmpubY/HixbF3795S15IwAZhwqtVqVKvVunOVSiUqlUqp6wwODkZEREtLS935lpaWkd8VJWECkMTw2Vqyo7e3N5qbm+uO3t7ecX0+CROAJGoJv0G6p6cnuru7686VTZcREa2trRERMTQ0FJdccsnI+aGhobj22mtLXUvCBGDCqVQq0dTUVHeMpmDOnz8/Wltbo6+vb+Tc73//+9i3b1+0tbWVupaECUAS47VK9sSJE/H888+P/PzCCy/EwYMHY/bs2TFv3ry4++6744tf/GJcdtllMX/+/PjCF74Ql156adx6662l7qNgApDEeBXMp59+Ot7//veP/Pz3rdyVK1fGtm3b4rOf/WycPHkyPvGJT8SxY8fixhtvjEcffTSmT59e6j4NtVqxvYyuW7yp1IUBJor9/dcWHnv9koNjNo/xdmDfXWN6/bv+an+ya21aeX2ya6UiYQKQhM3XAaCA4bMKJgCcU+4J08dKAKAACROAJGqZJ0wFE4AkhhPu9DMRackCQAESJgBJ5L7oR8EEIIncP1aiJQsABUiYQPbKbHc38L03FR676J/871HMJl9asgBQQO4FU0sWAAqQMAFIwsYFAFBA7i1ZBROAJHysBACQMAFII/e9ZBVMAJLI/R2mliwAFCBhApBE7glTwQT4/5TZ7m7fx/9H4bGLv/He0UxnUsm9YGrJAkABEiYASdQy/xymgglAElqyAICECUAauSdMBROAJGp2+gGAc8t90Y93mABQgIQJQBK+QBoACsi9JatgAoxSme3u9lz/XwuPvWl/52imwxhTMAFIQksWAIo4m/fHSqySBYACJEwAktCSBYACcl8lqyULAAVImAAkoSULAEXYfB0Azs07TABAwgR4I5TZ7u6hxk2Fx/7l8F2jmc6Y8A4TAArQkgUAJEwA0tCSBYAibL4OAEiYACShJQsABVglCwBImACkoSULAAXk3pJVMAEmmDLb3X3mqa+UuPIYb6OX+beVeIcJAAVImAAkoSULAAXkvuhHSxYACpAwAUgi95ashAlAGsPD6Y6SNm7cGG9/+9tj+vTpsXjx4njqqaeSP56CCcCk9p3vfCe6u7tj3bp1ceDAgbjmmmuio6Mjjh49mvQ+CiYASdTO1pIdZdx///3x8Y9/PO6888644oor4sEHH4w3velN8c1vfjPp8ymYACRRG64lO4o6ffp0DAwMRHt7+8i5xsbGaG9vj7179yZ9Pot+AJhwqtVqVKvVunOVSiUqlUrdud/97ndx9uzZaGlpqTvf0tISP//5z5POqXDBPLBvjLdUAmAUJs7/zSnrxPr16+Pee++tO7du3bpYv359snuUJWECMOH09PREd3d33bk/TZcREW9+85tjypQpMTQ0VHd+aGgoWltbk87JO0wAJpxKpRJNTU11xysVzGnTpsWiRYuir69v5Nzw8HD09fVFW1tb0jlJmABMat3d3bFy5cp497vfHe95z3vigQceiJMnT8add96Z9D4KJgCT2m233Ra//e1v45577onBwcG49tpr49FHH33ZQqDXq6FWq+W9lxEAJOAdJgAUoGACQAEKJgAUoGACQAEKJgAUoGACQAEKJgAUoGACQAEKJgAUoGACQAEKJgAUoGACQAH/D5wg6k0CLzzvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(np.diag(lambdas_sorted),\n",
    "            cmap = 'RdYlBu_r',square = True,\n",
    "            xticklabels = [], yticklabels = [])\n",
    "plt.savefig('lambda热图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ca0bf1ab-6d70-4ef0-80b9-83877d2c218b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EdIMD108rcX7MbVlcZEwmE95++22EhITA3d0dFy5cAADMmjULy5Yts3pAIiIiRyMIAjKuT/Tl/JjbsrjI/POf/8TKlSsxf/58KBQK8/bY2FgsXbrUquGIiIgcUe6VGpRW6iCXSdAjzEvsODbN4iKzatUqLFmyBBMmTIBMJjNvj4+PR1ZWllXDEREROaKMa/Nj4kK94CyX3eHVjs3iIpOfn4+oqKhG200mEwwGg1VCEREROTKuH9N0FheZrl27YteuXY22r1+/Hj179rRKKCIiIkd2faJvb95f6Y6cLH3D7NmzkZKSgvz8fJhMJnz77bfIzs7GqlWrsHnz5pbISERE5DBKKrXIKauGRAL0iuCIzJ1YPCIzcuRIbNq0Cb/88gvc3Nwwe/ZsnD59Gps2bcKwYcNaIiMREZHDOHhtNCY6wAMqV7nIaWyfxSMyADBgwABs3brV2lmIiIgc3vWJvpwf0zRcKpCIiMiGHLzE9WMsYfGIjFQqve2txI1G410FIiIiclSVWgNOFWgAcKJvU1lcZDZs2NDgscFgwOHDh/H5559jzpw5VgtGRETkaA7lVsAkAKHtXBCkchE7jl2wuMiMHDmy0baxY8eiW7du+PrrrzFlyhSrBCMiInI0128UyfsrNZ3V5sj07dsXaWlp1todERGRw+H9lSxnlSJTW1uLDz/8ECEhIdbYHRERkcPR1RlxJK8CAK9YsoTFp5batWvXYLKvIAiorKyEq6srvvzyS6uGIyIichQn8tXQ15ng46ZARz83sePYDYuLzIIFCxoUGalUCj8/PyQmJqJdO86wJiIiao6MnPqF8Hq1b3fbq4OpIYuLzMSJE1sgBhERkWPjjSKbp0lF5tixY03eYVxcXLPDEBEROSKTScBBFplmaVKR6dGjByQSCQRBuO3rJBIJF8QjIiKyUHZxJTTaOrgqZOgW7Cl2HLvSpCKTk5PT0jmIiIgc1vXTSveEt4OTjHcPskSTikxERERL5yAiInJYB67d8ZqnlSzXrLtfA8CpU6eQm5sLvV7fYPvDDz9816GIiIgchSAI5hV9e0fy6l9LWVxkLly4gEceeQTHjx9vMG/m+qVinCNDRETUdJev1qJIo4WTVIKeYSwylrL4RNyLL76IyMhIlJSUwNXVFSdPnsTOnTvRq1cvbN++vQUiEhERtV0Z10ZjYkNUcFHIRE5jfywekUlPT8evv/4KX19fSKVSSKVS9O/fH3PnzsULL7yAw4cPt0ROIiKiNun6RN8+vL9Ss1g8ImM0GuHh4QEA8PX1RUFBAYD6CcHZ2dnWTUdERNTGZXD9mLti8YhMbGwsjh49isjISCQmJmL+/PlQKBRYsmQJOnTo0BIZiYiI2qTyKh0ulFYDAHpFcH5Mc1hcZF5//XVUV9cf9LfeegsPPvggBgwYAB8fH3z99ddWD0hERNRWXb/sunOAO9q5KUROY58sLjLJycnm76OiopCVlYUrV640uis2ERER3d71+TG9eFqp2SyeI/Pll1+aR2Su8/b2ZokhIiKykHmiL4tMs1lcZKZPn46AgAA8/vjj+N///sd1Y4iIiJqhWleHkwUaAEBvXrHUbBYXmcLCQqxduxYSiQSPPvoogoKCkJqair1797ZEPiIiojbpUO5VGE0CQrxcEOLlInYcu2VxkXFycsKDDz6I1atXo6SkBAsWLMDFixcxaNAgdOzYsSUyEhERtTm/3V+JVyvdjbu6xaarqyuSk5MxYsQIdOrUCRcvXrTo/R9//DHi4uLg6ekJT09PJCUlYcuWLebntVotUlNT4ePjA3d3d4wZMwbFxcV3E5mIiMgm/HZ/JZ5WuhvNKjI1NTVYvXo1HnjgAYSEhGDhwoV45JFHcPLkSYv2Exoainnz5iEzMxMHDx7E4MGDMXLkSPN+pk+fjk2bNmHdunXYsWMHCgoKMHr06OZEJiIishn6OhMO5/GO19YgEa7f9bGJHnvsMWzevBmurq549NFHMWHCBCQlJVktkLe3N959912MHTsWfn5+WLNmDcaOHQsAyMrKQpcuXZCeno6+ffs2aX8ajQYqlQpqtRqenp5Wy0lERNRch3KvYvTivfBylePQ68MglfLK399r6u9vi9eRkclk+Oabb5CcnAyZzHo3tzIajVi3bh2qq6uRlJSEzMxMGAwGDB061PyamJgYhIeH37bI6HQ66HQ682ONRmO1jERERNZw/bRSrwhvlpi7ZHGRWb16tVUDHD9+HElJSdBqtXB3d8eGDRvQtWtXHDlyBAqFAl5eXg1eHxAQgKKiolvub+7cuZgzZ45VMxIREVnTbzeK5ETfu2VxkQGAtLQ0pKWloaSkBCaTqcFzy5cvt2hf0dHROHLkCNRqNdavX4+UlBTs2LGjObEAADNnzsSMGTPMjzUaDcLCwpq9PyIiImsymQQcvMT5MdZicZGZM2cO3nrrLfTq1QtBQUF3vaKvQqFAVFQUACAhIQEHDhzABx98gHHjxkGv16OioqLBqExxcTECAwNvuT+lUgmlUnlXmYiIiFrKL6eLUVFjgIfSCbEhKrHj2D2Li8wnn3yClStX4oknnmiJPDCZTNDpdEhISIBcLkdaWhrGjBkDAMjOzkZubq5VJxcTERG1FkEQsGj7eQDAn5MiIJfd1SoohGYUGb1ej3vvvdcqP3zmzJkYMWIEwsPDUVlZiTVr1mD79u346aefoFKpMGXKFMyYMQPe3t7w9PTE888/j6SkpCZfsURERGRL9p4vx9G8CiidpJjSP1LsOG2CxUXmqaeewpo1azBr1qy7/uElJSV48sknUVhYCJVKhbi4OPz0008YNmwYAGDBggWQSqUYM2YMdDodkpOTsXjx4rv+uURERGJYtO0cAGB8n3D4unMahDVYvI7Miy++iFWrViEuLg5xcXGQy+UNnn///fetGvBucR0ZIiKyBdfXjnGSSrDjlUG8v9IdtNg6MseOHUOPHj0AACdOnGjw3N1O/CUiImqrFl8bjXmkZwhLjBVZXGS2bdvWEjmIiIjarNOFGvxyugQSCfDsfbzBsjU1e7r0uXPn8NNPP6G2thZA/UxsIiIiauzja1cqPdA9CB383EVO07ZYXGTKy8sxZMgQdO7cGQ888AAKCwsBAFOmTMHLL79s9YBERET27GJZNTYfKwAAPMfRGKuzuMhMnz4dcrkcubm5cHV1NW8fN24cfvzxR6uGIyIisnef7DgPkwAMivZDt2AugGdtFs+R+fnnn/HTTz8hNDS0wfZOnTrh0qVLVgtGRERk7wrVtfjvocsAgGmDo0RO0zZZPCJTXV3dYCTmuitXrvDWAERERDf4bGcODEYBiZHeSIjgfZVagsVFZsCAAVi1apX5sUQigclkwvz58zFo0CCrhiMiIrJX5VU6rMmoP1OROoijMS3F4lNL8+fPx5AhQ3Dw4EHo9Xq88sorOHnyJK5cuYI9e/a0REYiIiK7s2LPRWgNJnQPUWFAJ1+x47RZFo/IxMbG4syZM+jfvz9GjhyJ6upqjB49GocPH0bHjpyNTUREpNEa8Hn6RQD1ozFcMLblWDwiAwAqlQr/+Mc/rJ2FiIioTfhy3yVUausQ5e+O4V0DxI7TpjXrFgU3I5FI4OzsjPDwcE76JSIih1WrN2LZrhwA9evGSKUcjWlJFheZHj16mIfIrq/me+OQmVwux7hx4/Dpp5/C2dnZSjGJiIjsw9cHclFerUdoOxc8FB8sdpw2z+I5Mhs2bECnTp2wZMkSHD16FEePHsWSJUsQHR2NNWvWYNmyZfj111/x+uuvt0ReIiIim6WvM2HJzgsAgGf+0BFyWbPvBERNZPGIzL/+9S988MEHSE5ONm/r3r07QkNDMWvWLGRkZMDNzQ0vv/wy3nvvPauGJSIismUbj+SjQK2Fn4cSYxNC7/wGumsWV8Xjx48jIiKi0faIiAgcP34cQP3pp+v3YCIiInIERpNgvjnk0wMi4SyXiZzIMVhcZGJiYjBv3jzo9XrzNoPBgHnz5iEmJgYAkJ+fj4AAztImIiLHseVEIXLKqqFykePxxMb/wU8tw+JTS4sWLcLDDz+M0NBQxMXFAagfpTEajdi8eTMA4MKFC3juueesm5SIiMhGCYKARdvqR2Mm9WsPd2WzVjehZpAI1y89skBlZSVWr16NM2fOAACio6Px+OOPw8PDw+oB75ZGo4FKpYJarYanp6fYcYiIqA3allWCSSsPwFUhw95XB8PLVSF2JLvX1N/fzaqMHh4eeOaZZ5odjoiIqK0QBAH/2XYOAPDnvhEsMa2sSUXm+++/x4gRIyCXy/H999/f9rUPP/ywVYIRERHZg/05V5B56SoUTlI81T9S7DgOp0lFZtSoUSgqKoK/vz9GjRp1y9dJJBIYjUZrZSMiIrJ5i66NxjzaKxT+nlwItrU1qciYTKabfk9EROTIjl2uwK6zZZBJJfjLQN44WQx3teSgVqu1Vg4iIiK7s/jalUoj44MR5u0qchrHZHGRMRqNePvttxESEgJ3d3dcuFC/FPOsWbOwbNkyqwckIiKyRWeLK/HjySJIJMBzgzgaIxaLi8y//vUvrFy5EvPnz4dC8dvM7NjYWCxdutSq4YiIiGyRIAj4vx+zAQDJXQMR5W97y484CouLzKpVq7BkyRJMmDABMtlvyy/Hx8cjKyvLquGIiIhs0doDefjldDHkMgleGtZJ7DgOzeIik5+fj6ioqEbbTSYTDAaDVUIRERHZqvOlVXhr0ykAwN+SoxETyMVWxWRxkenatSt27drVaPv69evRs2dPq4QiIiKyRfo6E15cexi1BiP6Rfngqf4dxI7k8Cxe2Xf27NlISUlBfn4+TCYTvv32W2RnZ2PVqlXmey0RERG1Re9vPYMT+Rp4ucrx7z/1gFQqETuSw7N4RGbkyJHYtGkTfvnlF7i5uWH27Nk4ffo0Nm3ahGHDhrVERiIiItHtPV+GT3fWX249b3QcAlVc/M4WNOteSwMGDMDWrVutnYWIiMgmVdToMeProxAEYHyfMNwfGyh2JLrmrhbEIyIiausEQcDMb4+jSKNFB183zHqwq9iR6AYsMkRERLex7uBlbDlRBCepBAsf6wFXRbNOZlALYZEhIiK6hZyyary56SQA4OXh0YgL9RI3EDXCIkNERHQTBqMJL609jBq9EX07eGPqQF5qbYtYZIiIiG5i4S9ncPSyGioXOd5/tAdkvNTaJll8om/GjBk33S6RSODs7IyoqCiMHDkS3t7edx2OiIhIDPsvlGPx9vpLrd95pDuCvVxETkS3YnGROXz4MA4dOgSj0Yjo6GgAwJkzZyCTyRATE4PFixfj5Zdfxu7du9G1K2d2ExGRfVHXGDD96yMQBOBPCaH4Y1yQ2JHoNpq1IN7QoUNRUFCAzMxMZGZm4vLlyxg2bBjGjx+P/Px8DBw4ENOnT2+JvERERC1GEAS8tvE4CtRatPdxxZsPdxM7Et2BRBAEwZI3hISEYOvWrY1GW06ePInhw4cjPz8fhw4dwvDhw1FWVmbVsM2h0WigUqmgVqvh6ckbexER0a2tz7yMv647CiepBOufvRc9wrzEjuSwmvr72+IRGbVajZKSkkbbS0tLodFoAABeXl7Q6/WW7pqIiEg0l8qr8cZ3JwAA04d1ZomxE806tTR58mRs2LABly9fxuXLl7FhwwZMmTIFo0aNAgBkZGSgc+fO1s5KRETUIgxGE15cewTVeiP6tPfGM3/oKHYkaiKLJ/t++umnmD59Oh577DHU1dXV78TJCSkpKViwYAEAICYmBkuXLrVuUiIiohbyUdpZHMmrgIezExY8xkut7YnFc2Suq6qqwoULFwAAHTp0gLu7u1WDWQvnyBAR0e0cuHgF4z5Nh0kAPhrfEw/FB4sdidD039/NvmGEu7s74uLimvt2IiIi0eVdqcFLa4/AJACj7wlhibFDFheZ6upqzJs3D2lpaSgpKYHJZGrw/PVRGiIiIlv23ZF8vL7hBCp1dQj3dsUcXmptlywuMk899RR27NiBJ554AkFBQZBIeB6RiIjsR7WuDm98fxLrMy8DAO4J98KH43vCw1kucjJqDouLzJYtW/DDDz+gX79+LZGHiIioxRy/rMYLaw8jp6waUgkwbVAUXhjSCU4y3nrQXllcZNq1a8f7KBERkV0xmQQs3X0B7/6UDYNRQJDKGQvH9UBiBx+xo9FdsriCvv3225g9ezZqampaIg8REZFVlVRqkbIiA+/8LwsGo4D7uwViy4sDWGLaCItHZP7973/j/PnzCAgIQPv27SGXNzyneOjQIauFIyIiuhvbskrw13VHUV6th7NcitkPdsP4PmGc39mGWFxkrq/eS0REZKt0dUb835ZsLN+TAwCICfTAR+N7olOAh8jJyNqavSCeveCCeEREjuVcSSWe/+oIThfW3/9v4r3t8eqIGDjLZSInI0u0+IJ4REREtkQQBKw9kIc5m05CazDB202Bd8fGYUiXALGjUQtqUpHx9vbGmTNn4Ovri3bt2t323OKVK1esFo6IiKgp1DUGzNxwDP87XgQA6B/li/cfjYe/p7PIyailNanILFiwAB4e9ecVFy5c2JJ5iIiILFJaqcNjS9JxvrQaTlIJ/pYcjacHdICUN350CJwjQ0REdutKtR7jl+xDdnElglTO+OTPCYgP8xI7FlmBVefIaDSaJv9glgUiImoN6hoDnli2H9nFlfD3UOKrp/uiva+b2LGolTWpyHh5eTX5mnuj0XhXgYiIiO6kUmvAkysycLJAA193BdawxDisJhWZbdu2mb+/ePEiXn31VUycOBFJSUkAgPT0dHz++eeYO3duy6QkIiK6plpXh0krDuBoXgXaucrx5VOJiPJ3FzsWicTiOTJDhgzBU089hfHjxzfYvmbNGixZsgTbt2+3Zr67xjkyRERtR63eiEkrM7DvwhV4OjthzdN9ERuiEjsWtYCm/v62+F5L6enp6NWrV6PtvXr1QkZGhqW7IyIiahKtwYipXxzEvgtX4K50wueT+7DEkOVFJiwsDJ999lmj7UuXLkVYWJhF+5o7dy569+4NDw8P+Pv7Y9SoUcjOzm7wGq1Wi9TUVPj4+MDd3R1jxoxBcXGxpbGJiMiO6etMSF19CLvOlsFVIcOKSb3RM7yd2LHIBli8su+CBQswZswYbNmyBYmJiQCAjIwMnD17Fv/9738t2teOHTuQmpqK3r17o66uDq+99hqGDx+OU6dOwc2tftLW9OnT8cMPP2DdunVQqVSYNm0aRo8ejT179lganYiI7FCd0YQXvjqMtKwSKJ2kWJrSC73be4sdi2xEs9aRuXz5MhYvXoysrCwAQJcuXfDMM89YPCLze6WlpfD398eOHTswcOBAqNVq+Pn5Yc2aNRg7diwAICsrC126dEF6ejr69u17x31yjgwRkf0ymgRM//oIvj9aAIVMis9SeuEPnf3EjkWtoEXvtRQaGop33nmn2eFuRa1WA6i/JQIAZGZmwmAwYOjQoebXxMTEIDw8/JZFRqfTQafTmR9bsgYOERHZDpNJwN//ewzfHy2Ak1SCxRPuYYmhRppVZCoqKpCRkYGSkhKYTKYGzz355JPNCmIymfDSSy+hX79+iI2NBQAUFRVBoVDAy8urwWsDAgJQVFR00/3MnTsXc+bMaVYGIiKyDYIg4B8bT2B95mXIpBJ8NL4nhnblzR+pMYuLzKZNmzBhwgRUVVXB09OzwUJ5Eomk2UUmNTUVJ06cwO7du5v1/utmzpyJGTNmmB9rNJq7PuVFREStRxAEzNl0Cl9l5EIiAd5/NB4jugeJHYtslMVF5uWXX8bkyZPxzjvvwNXV1Sohpk2bhs2bN2Pnzp0IDQ01bw8MDIRer0dFRUWDUZni4mIEBgbedF9KpRJKpdIquYiIqHUJgoB5W7Kwcu9FAMD8MXEY2SNE3FBk0yy+/Do/Px8vvPCCVUqMIAiYNm0aNmzYgF9//RWRkZENnk9ISIBcLkdaWpp5W3Z2NnJzc82rChMRUduxYOsZfLrzAgDgX4/E4k+9OKJOt2fxiExycjIOHjyIDh063PUPT01NxZo1a/Ddd9/Bw8PDPO9FpVLBxcUFKpUKU6ZMwYwZM+Dt7Q1PT088//zzSEpKatIVS0REZD+W7rqAD389BwB446GumJAYIXIisgcWF5k//vGP+Nvf/oZTp06he/fukMvlDZ5/+OGHm7yvjz/+GABw3333Ndi+YsUKTJw4EUD9ujVSqRRjxoyBTqdDcnIyFi9ebGlsIiKyYT+eKMK//ncaAPDK/dGY1C/yDu8gqmfxOjJS6a3PRkkkEpu7+zXXkSEism1H8yowbkk6tAYT/tw3HG+PjG1wIQk5phZbR+b3l1sTERE1V96VGkz5/CC0BhPui/bDmw91Y4khi1g82fdGWq3WWjmIiMjBqGsNmLzyAMqqdOgS5In/PH4PnGR39WuJHJDFnxij0Yi3334bISEhcHd3x4UL9bPLZ82ahWXLllk9IBERtT0GownPrc7E2ZIqBHgqsXxiL7grm7VGKzk4i4vMv/71L6xcuRLz58+HQqEwb4+NjcXSpUutGo6IiNoeQRDwjw3HsedcOVwVMixL6Y0glYvYschOWVxkVq1ahSVLlmDChAmQyWTm7fHx8eabSBIREd3K4u3n8c3By5BKgEWP34PYEJXYkciONWtBvKioqEbbTSYTDAaDVUIREVHb9P3RArz7UzYAYM7D3TAoxl/kRGTvLC4yXbt2xa5duxptX79+PXr27GmVUERE1PYcvHgFf113FAAwpX8knkhqL24gahMsnlk1e/ZspKSkID8/HyaTCd9++y2ys7OxatUqbN68uSUyEhGRnbtYVo2nVx2Evs6E5G4BeO2BLmJHojbC4hGZkSNHYtOmTfjll1/g5uaG2bNn4/Tp09i0aROGDRvWEhmJiMiOXa3WY9LKA7haY0B8qAoLx/WETMq1Ysg6mnWt24ABA7B161ZrZyEiojZGV2fEX77IRE5ZNUK8XPBZSi+4KGR3fiNRE1k8InPgwAHs37+/0fb9+/fj4MGDVglFRET2TxAEvLL+GDIuXoGHsxNWTOoNfw9nsWNRG2NxkUlNTUVeXl6j7fn5+UhNTbVKKCIisn8LfjmL744UwEkqwccTEtA5wEPsSNQGWVxkTp06hXvuuafR9p49e+LUqVNWCUVERPZtfeZlfJh2FgDwziPd0b+Tr8iJqK2yuMgolUoUFxc32l5YWAgnJy4vTUTk6PaeL8PMb48BAFIHdcSjvcNETkRtmcVFZvjw4Zg5cybUarV5W0VFBV577TVetURE5OBOF2rwly8yYTAKeCg+GC8PixY7ErVxFg+hvPfeexg4cCAiIiLMC+AdOXIEAQEB+OKLL6wekIiI7ENueQ2eXJ6BSm0derdvh3fHxkHKy6yphVlcZEJCQnDs2DGsXr0aR48ehYuLCyZNmoTx48dDLpe3REYiIrJxJZVa/HnZfpRW6hAT6IGlKb3hLOdl1tTymjWpxc3NDVOnTrV2FiIiskPqWgNSlh9A7pUahHu7YtWUPlC58D9sqXVYPEfm888/xw8//GB+/Morr8DLywv33nsvLl26ZNVwRERk27QGI57+/CBOF2rg56HEl1MSuVYMtSqLi8w777wDFxcXAEB6ejr+85//YP78+fD19cX06dOtHpCIiGyTwWjCtDWHzAverZrcB+E+rmLHIgdj8amlvLw8REVFAQA2btyIsWPHYurUqejXrx/uu+8+a+cjIiIbZDIJ+Pt/j+GX0yVQOkmxfGJvdAnyFDsWOSCLR2Tc3d1RXl4OAPj555/Nl1w7OzujtrbWuumIiMjmCIKAf/3vNL49lA+ZVIKP/3wPerf3FjsWOSiLR2SGDRuGp556Cj179sSZM2fwwAMPAABOnjyJiIgIqwckIiLbsnj7eSzbnQMAeHdsHAbHBIiciByZxSMyixYtQlJSEkpLS/Hf//4XPj4+AIDMzEw8/vjjVg9IRES246uMXLz7UzYAYNaDXTH6nlCRE5GjkwiCIFhrZydOnEBsbKy1dmcVGo0GKpUKarUanp48f0tE1Fz/O16IaWsOwSTU33rgb8kxYkeiNqypv78tHpH5vcrKSixZsgSJiYmIj4+/290REZEN2nOuDC+tPQKTAIzvE46/DuetB8g2NLvI7Ny5EykpKQgKCsJ7772HQYMGYd++fdbMRkRENuBoXgWmrjoIvdGEB7oH4p+jYiGR8NYDZBssmuxbVFSElStXYtmyZdBoNHj00Ueh0+mwceNGdO3ataUyEhGRSM6VVGHiigxU643oF+WDBeN6QMb7J5ENafKIzEMPPYTo6GgcO3YMCxcuREFBAT766KOWzEZERCIqqKjFk8v242qNAfGhKnz6RC8onXj/JLItTR6R2bJlC1544QU8++yz6NSpU0tmIiIiEQmCgKyiSkxbcwgFai06+LlhxaQ+cFc26/Z8RC2qyZ/K3bt3Y9myZUhISECXLl3wxBNP4LHHHmvJbERE1AoEQcDF8hrsPV+G9PPl2HehHGVVegBAkMoZX0xJhLebQuSURDdn8eXX1dXV+Prrr7F8+XJkZGTAaDTi/fffx+TJk+Hh4dFSOZuNl18TETWWX1GLvefKkH6hHOnny1Go1jZ43lkuRd8OPpj1YFd09HMXKSU5sqb+/r6rdWSys7OxbNkyfPHFF6ioqMCwYcPw/fffN3d3LYJFhogIKKnUmkdb9p4vx6XymgbPK2RS9Az3QlJHH9zb0RfxYSrOhyFRtUqRuc5oNGLTpk1Yvnw5iwwRkY0wGE34MO0sfjxRhLMlVQ2ek0kl6B6iwr3XiktCRDu4KFhcyHa0apGxZSwyROSIBEHAzG+PY+2BPPO2rkGe9cUlyge923vDw1kuYkKi22vq729OQSciaoM+3XkBaw/kQSIB3h4Ziz92D0I7TtilNohFhoiojdlyvBDztmQBAGb9sSv+3DdC5ERELeeu77VERES240heBV76+ggAICUpApP6tRc1D1FLY5EhImojLl+twVOfH4SuzoRB0X6Y9WBX3hOJ2jwWGSKiNkCjNWDyygMoq9KhS5AnPnr8HjjJ+E88tX38lBMR2TmD0YTU1YdwprgK/h5KLJ/Yi7cTIIfBIkNEZMcEQcDs705i19kyuMhlWJbSG0EqF7FjEbUaFhkiIjv22a4L+CojFxIJ8MFjPdA9VCV2JKJWxSJDRGSnfjxRhLnXLrP+xwNdMLxboMiJiFofiwwRkR06mleBl74+DEEAnugbgSn9I8WORCQKFhkiIjuTX1GLp1YdhNZgwn3RfnjjIV5mTY6LRYaIyI5Uag2YvOIASit1iAn0wEfje/Iya3Jo/PQTEdmJOqMJ09YcRnZxJfw8lFg2sTdv/EgOj0WGiMgOCIKAN74/iR1nSuEsl2JZSi+EePEyayIWGSIiO7Bsdw5W779+mXVPxIV6iR2JyCZw6UciIhtSZzShrEqPYo22/qtSh0tl1Vi2JwcA8NqILkjmZdZEZiwyREStRF1rwOWrNSjR6K4VFR2KNFqUaLQorqx/XFalgyDc/P0TEsPx1ABeZk10IxYZIqIWJggClu+5iHlbTsNgvEVLuYFMKoG/hxL+ns4I8FAiwNMZXYI88WivUF5mTfQ7LDJERC1IX2fCG9+fwFcZeQAAX3cFAjydr30p4e/hjEDVb98HeDrD200BmZSFhagpWGSIiFpIRY0ez3yZiX0XrkAqAV57oAum9I/kqAqRFbHIEBG1gPOlVZiy8gAultfAXemED8f3wOCYALFjEbU5LDJERFa262wpnlt9CJXaOoS2c8GylN6IDvQQOxZRm8QiQ0RkRV+kX8Sbm07BaBLQK6IdPnkiAb7uSrFjEbVZLDJERFZQZzThrc2nsCr9EgBg9D0hmDu6O5ROMpGTEbVtLDJERHdJXWvAtDWHsOtsGSQS4JXkGDzzhw6c1EvUClhkiIjuwsWyakz5/ADOl1bDRS7Dwsd6cOVdolbEIkNE1Ezp58vx7OpMVNQYEKRyxtKUXugWrBI7FpFDYZEhImqGtRm5eH3jCdSZBMSHeeGzJxPg7+EsdiwihyPq3a937tyJhx56CMHBwZBIJNi4cWOD5wVBwOzZsxEUFAQXFxcMHToUZ8+eFScsEREAo0nA25tP4dVvj6POJOCh+GB8PbUvSwyRSEQdkamurkZ8fDwmT56M0aNHN3p+/vz5+PDDD/H5558jMjISs2bNQnJyMk6dOgVnZ/6jQUTWJwgCrtYYUKTWokhTiyJ1/Y0di9S1KNLocKm8GpfKawAAM4Z1xvODozipl0hEohaZESNGYMSIETd9ThAELFy4EK+//jpGjhwJAFi1ahUCAgKwceNGPPbYY60ZlYjakCpdHXafLUN+RS2KNdr60qLW1hcWjRb6OtNt3690kuLfj8bjwbjgVkpMRLdis3NkcnJyUFRUhKFDh5q3qVQqJCYmIj09/ZZFRqfTQafTmR9rNJoWz0pE9uFcSRW+SL+I/x7KR5Wu7rav9XFTIFDljEBPZwSonBF07c9AT2d0DfbkIndENsJmi0xRUREAICCg4b1JAgICzM/dzNy5czFnzpwWzUZE9qPOaEJaVglWpV/EnnPl5u3tfVzRLUSFQM/6chKocjYXF39PJReyI7ITNltkmmvmzJmYMWOG+bFGo0FYWJiIiYhIDOVVOqw9kIfV+y6hQK0FAEglwJAuAXgyKQL9OvpCKuXcFiJ7Z7NFJjCwfkGp4uJiBAUFmbcXFxejR48et3yfUqmEUskhXyJHdSSvAqv2XsTmY4XQG+vnurRzleOxPuGYkBiO0HauIickImuy2SITGRmJwMBApKWlmYuLRqPB/v378eyzz4objohsitZgxOZjhfgi/SKOXlabt8eFqvBkUns8GBcEZzlPFRG1RaIWmaqqKpw7d878OCcnB0eOHIG3tzfCw8Px0ksv4Z///Cc6depkvvw6ODgYo0aNEi80EdmM/IpafLnvEtZm5OJqjQEAoJBJ8WBcEJ68tz16hHmJG5CIWpyoRebgwYMYNGiQ+fH1uS0pKSlYuXIlXnnlFVRXV2Pq1KmoqKhA//798eOPP3INGSJC5qWr+PPS/ag1GAEAwSpnTOgbgXG9w3hFEZEDkQiCIIgdoiVpNBqoVCqo1Wp4enqKHYeIrOBcSRXGfrIXFTUGxIeq8NygKAyJ8YeTTNTFyonIipr6+9tm58gQEd1MsUaLlOUZ5hLz1dS+cFXwnzIiR8X/fCEiu6HRGpCyPAP5FbWI9HXD8om9WWKIHByLDBHZBV2dEX9ZlYmsokr4uivx+aQ+8OFcGCKHxyJDRDbPZBLw8jdHkX6hHG4KGVZO6o1wH64HQ0QsMkRk4wRBwD9/OI3NxwrhJJXgkycSEBuiEjsWEdkIFhkismmf7bqA5XtyAADv/SkeAzr5iZyIiGwJiwwR2ayNh/Pxzv+yAACvPRCDUT1DRE5ERLaGRYaIbNKus6X42/qjAIDJ/SLx9IAOIiciIlvEIkNENudEvhrPfJEJg1HAg3FBeP2PXSCR8E7VRNQYiwwR2ZTc8hpMXHEA1Xojkjr44N+PxkMqZYkhoptjkSEim1FepUPKigyUVekQE+iBT59MgNKJd60moltjkSEim1Cjr8Pkzw8ip6waIV4u+HxyH3g6y8WORUQ2jkWGiERnMJqQuvoQjuZVwMtVjlVT+iDAk3e5J6I7Y5EhIlEJgoB/bDiObdmlcJZLsSylNzr6uYsdi4jsBO+2RkStzmQSkFVUid3nSvFrVgn2XbgCqQT4z/h7kBDRTux4RGRHWGSIqFUUqbXYdbYUu8+VYc+5MpRV6c3PSSTAO490x9CuASImJCJ7xCJDRC2iSleH/RfKsetsGXafK8O5kqoGz7vIZUjs4I3+Ub4YFOPP00lE1CwsMkRkFXVGE47lq7H7bBl2ny3DodyrqDMJ5uclEiAuRIX+nXzRP8oP90R48dJqIrprLDJEdFcuX63BF/su4ZsDebhaY2jwXJi3C/pH+WFAJ1/c29EHXq4KkVISUVvFIkNEFhMEARk5V7Biz0X8fKoI1wdePJ2d0C/KF/07+WJAlB/CfVzFDUpEbR6LDBE1mdZgxPdHC7Byz0WcKtSYt/eL8sHEeyMxOMYfMt5OgIhaEYsMEd1RkVqLL/ddwpqMXFyprr/ayFkuxSM9QzHx3vaIDvQQOSEROSoWGSK6KUEQcCi3Aiv3XsSW44XmibshXi54MikC43qHcc4LEYmORYaIGtDVGfG/44VYsecijl1Wm7f3ifTG5H7tMbRLAJxkXBSciGwDiwyRgxMEAblXanAkrwKHcyuw+Vghyqp0AACFkxSjegQj5d726BasEjkpEVFjLDJEDkZda8Cxy/Wl5Uhe/df1eS/XBXgq8WRSezzWOww+7kqRkhIR3RmLDFEbVmc0Iauo0lxYDudexfnS6kavU8ik6BLsiZ5hXujbwRtDugRAztNHRGQHWGSI7Fy1rg4llTqUVupQUqlFiUaHgopaHLusxrH8CmgNpkbvCfd2RY8wL/QM90KPMC90DfbkKrtEZJdYZIhslLrWgEJ1LUo0uoZFpVKHUo0OpVU6lGi0qNYbb7sfD6UTelwrLNe/eLqIiNoKFhkiEalrDMgpr8al8mrklFXjUnnNtT+rGy33fzuuChn8PZTw81DC38MZ/p5KdA3yRM9wL3TwdYeUi9QRURvFIkPUggRBQEWNARfLG5aUnPIaXCqvRsUdyoq3m8JcUMwlxfy9Ev6ezvDzUMJdyf8rE5Fj4r9+RE0kCAKq9UZcrdbjSrUeV2r0qKjR40q1oX5bjR5Xq/W4WqPH1WqD+XmDUbjtfgM8lWjv41b/5euG9j6uaO/rhggfV7gq+H9RIqLb4b+SRL8jCAKKNTqcLFDjRL4GJwrUOF2oQYlGB72x8cTZpgj0dEZ7X9cGZSXCh2WFiOhu8V9QcmiCICDvSi1OFKjNxeVkgRplVfpbvsdZLoW3qwLt3BTwdlPAy1UBb1e5+XE712tfbnLzY2c5rwgiImoJLDLkMIwmATllVfWjLPnqa+VFg0ptXaPXSiVAJ38PdAvxRLdgFboFeyLc2xXtXBVwUbCUEBHZChYZapPUtQZkFWpwulCD04WVOF2kQXZRJXR1jU8NKWRSRAd6IPZaaYkNUSEm0IOjKEREdoBFhuyaySTgYnk1sooqr5WW+uKSX1F709e7KmToGuSJbsGe6BaiQmywCp0C3LmKLRGRnWKRIZsiCAJ0dSbU6I2o1tWhRm9Ela4ONfo6VOvqt2m0BpwprsLpwvpRllrDzReEC/FyQZcgD3QJ8jR/hXu7QsY1VYiI2gwWGWpV1bo67D5Xhm1ZJbhUXoMafd21ovJbcakz3f5y5d9zlksRHVBfWGICr/0Z5AmVi7yF/hZERGQrWGSoxeVdqcGvWSVIyyrBvvPlTb6E2VkuhZvCCa5KGdwUTnBTOsFVIYO70gkd/NyuFRdPRPq6cZSFiMhBsciQ1dUZTTiUW4G0rGJsyyrBmeKqBs+HebtgSEwAeoR5wV1ZX1DclDK4KpzgrqwvLq5yGZw4b4WIiO6ARYasoqJGjx1nSvFrVgm2Z5dCXfvb0vsyqQS9ItphcIw/hnTxR0c/d0gkHEEhIqK7xyJDZtcn2uqNJugMJujqjNDV/fa9vs5U/7ju2nMGE4ortdieXYrMS1dhvGFui5erHPd19sPgLgH4Qyc/qFw5X4WIiKyPRcYGGU0CDEYTjCYBdUYBBpMJdUYBdTf8aTAK5tfVXXud3mhCja4O1Xqj+SqfBn/qjdeebzi5tlpXB22dCfqbrLFiiegADwzu4o8hMf7oEebFU0NERNTiWGREJggCzpZUYeeZUuw+V4aMnCuo0d/8cuLWpnSS1n/JZebvFU6yBtvdlTL07eCDQdH+CPN2FTsyERE5GBYZEZRV6bDnXBl2ninD7nOlKNbo7vgemVQCJ6kEcpkUTrL6752k9d/LZVLIpBIoZFLzpFnznwoZXJXX/rxxu/l5J7goZHBR3FBQnGSQyyScx0JERDaPRaYVaA1GZF66ip1nS7HrTBlOFWoaPK90kiKxgw8GdvJFvyhfBHg61xcU6W+lhaWCiIioMRaZFiAIAs4UV2HX2VLsPFuGjJxyaA0N5590DfLEgM6+GNjJDwkR7XhfHyIiomZgkbGyjJwrmP3dCWQVVTbYHuCpRP8oPwzsXD/q4uuuFCkhERFR28EiYyXlVTq8878s/PfQZQD1q9ImRvpgQCdfDOzsh07+XDuFiIjI2lhk7pLJJOCrA7mY/2M21LUGSCTA+D7heCU5Gl6uCrHjERERtWksMnfhRL4ar288gSN5FQDq573885FY3BPeTtxgREREDoJFphkqtQb8++czWJV+ESYBcFc64eXhnfFE3wguAkdERNSKWGQsIAgCNh0rxD83n0JJZf3aLw/FB+P1P3ZBgKezyOmIiIgcD4tME10orcLs705i97kyAECkrxveGtkNAzr5iZyMiIjIcbHI3IHWYMTibefwyY4L0BtNUDhJMW1QFKYO7MC1X4iIiETGInMb27JL8MZ3J5F7pQYA8IfOfnhrZDdE+LiJnIyIiIgAFpmbuny1Bm9vPoWfThYDAAI9nfHGQ11xf2wg14IhIiKyISwyN9DVGbF0Vw4++vUstAYTZFIJJvdrjxeHdoa7koeKiIjI1vC38zU7z5Tize9P4kJZNQCgT6Q33h4Zi+hAD5GTERER0a04fJEpqKjFP384hf8dLwIA+Lor8fofu2Bkj2CeRiIiIrJxDltk9HUmLNudgw/TzqLWYIRMKkFKUnu8NKwTPJ3lYscjIiKiJnDIIrP7bBlmf38CF0rrTyP1bt8Ob42MRZcgT5GTERERkSXsYj39RYsWoX379nB2dkZiYiIyMjKatZ9CdS1S1xzCn5ftx4XSavi6K/D+o/H45i9JLDFERER2yOZHZL7++mvMmDEDn3zyCRITE7Fw4UIkJycjOzsb/v7+Td7P8t0XsGRfEWr0RkglwJNJ7TF9WGeoXHgaiYiIyF5JBEEQxA5xO4mJiejduzf+85//AABMJhPCwsLw/PPP49VXX73j+zUaDVQqFcJe+gZSpSsSItrhrZHd0C1Y1dLRiYiIqJmu//5Wq9Xw9Lz1WRObHpHR6/XIzMzEzJkzzdukUimGDh2K9PT0m75Hp9NBp9OZH6vVagCASmbA30Z0wMPxwZBKJdBoNC0bnoiIiJrt+u/pO4232HSRKSsrg9FoREBAQIPtAQEByMrKuul75s6dizlz5jTafuLfE5Dy7xaJSURERC2ksrISKtWtz6LYdJFpjpkzZ2LGjBnmxxUVFYiIiEBubu5tD4Qj02g0CAsLQ15e3m2H7xwZj9Gd8RjdGY/RnfEY3ZmjHCNBEFBZWYng4ODbvs6mi4yvry9kMhmKi4sbbC8uLkZgYOBN36NUKqFUKhttV6lUbfp/cGvw9PTkMboDHqM74zG6Mx6jO+MxujNHOEZNGYCw6cuvFQoFEhISkJaWZt5mMpmQlpaGpKQkEZMRERGRLbDpERkAmDFjBlJSUtCrVy/06dMHCxcuRHV1NSZNmiR2NCIiIhKZzReZcePGobS0FLNnz0ZRURF69OiBH3/8sdEE4FtRKpV44403bnq6ierxGN0Zj9Gd8RjdGY/RnfEY3RmPUUM2v44MERER0a3Y9BwZIiIiotthkSEiIiK7xSJDREREdotFhoiIiOxWmy4yixYtQvv27eHs7IzExERkZGSIHcmmvPnmm5BIJA2+YmJixI4lqp07d+Khhx5CcHAwJBIJNm7c2OB5QRAwe/ZsBAUFwcXFBUOHDsXZs2fFCSuCOx2fiRMnNvpM3X///eKEFcncuXPRu3dveHh4wN/fH6NGjUJ2dnaD12i1WqSmpsLHxwfu7u4YM2ZMo4U/27KmHKP77ruv0WfpmWeeESlx6/v4448RFxdnXvQuKSkJW7ZsMT/v6J+hG7XZIvP1119jxowZeOONN3Do0CHEx8cjOTkZJSUlYkezKd26dUNhYaH5a/fu3WJHElV1dTXi4+OxaNGimz4/f/58fPjhh/jkk0+wf/9+uLm5ITk5GVqttpWTiuNOxwcA7r///gafqa+++qoVE4pvx44dSE1Nxb59+7B161YYDAYMHz4c1dXV5tdMnz4dmzZtwrp167Bjxw4UFBRg9OjRIqZuXU05RgDw9NNPN/gszZ8/X6TErS80NBTz5s1DZmYmDh48iMGDB2PkyJE4efIkAH6GGhDaqD59+gipqanmx0ajUQgODhbmzp0rYirb8sYbbwjx8fFix7BZAIQNGzaYH5tMJiEwMFB49913zdsqKioEpVIpfPXVVyIkFNfvj48gCEJKSoowcuRIUfLYqpKSEgGAsGPHDkEQ6j8zcrlcWLdunfk1p0+fFgAI6enpYsUU1e+PkSAIwh/+8AfhxRdfFC+UDWrXrp2wdOlSfoZ+p02OyOj1emRmZmLo0KHmbVKpFEOHDkV6erqIyWzP2bNnERwcjA4dOmDChAnIzc0VO5LNysnJQVFRUYPPlUqlQmJiIj9XN9i+fTv8/f0RHR2NZ599FuXl5WJHEpVarQYAeHt7AwAyMzNhMBgafI5iYmIQHh7usJ+j3x+j61avXg1fX1/ExsZi5syZqKmpESOe6IxGI9auXYvq6mokJSXxM/Q7Nr+yb3OUlZXBaDQ2Wv03ICAAWVlZIqWyPYmJiVi5ciWio6NRWFiIOXPmYMCAAThx4gQ8PDzEjmdzioqKAOCmn6vrzzm6+++/H6NHj0ZkZCTOnz+P1157DSNGjEB6ejpkMpnY8VqdyWTCSy+9hH79+iE2NhZA/edIoVDAy8urwWsd9XN0s2MEAI8//jgiIiIQHByMY8eO4e9//zuys7Px7bffipi2dR0/fhxJSUnQarVwd3fHhg0b0LVrVxw5coSfoRu0ySJDTTNixAjz93FxcUhMTERERAS++eYbTJkyRcRkZK8ee+wx8/fdu3dHXFwcOnbsiO3bt2PIkCEiJhNHamoqTpw44fBzz27nVsdo6tSp5u+7d++OoKAgDBkyBOfPn0fHjh1bO6YooqOjceTIEajVaqxfvx4pKSnYsWOH2LFsTps8teTr6wuZTNZoBndxcTECAwNFSmX7vLy80LlzZ5w7d07sKDbp+meHn6um69ChA3x9fR3yMzVt2jRs3rwZ27ZtQ2hoqHl7YGAg9Ho9KioqGrzeET9HtzpGN5OYmAgADvVZUigUiIqKQkJCAubOnYv4+Hh88MEH/Az9TpssMgqFAgkJCUhLSzNvM5lMSEtLQ1JSkojJbFtVVRXOnz+PoKAgsaPYpMjISAQGBjb4XGk0Guzfv5+fq1u4fPkyysvLHeozJQgCpk2bhg0bNuDXX39FZGRkg+cTEhIgl8sbfI6ys7ORm5vrMJ+jOx2jmzly5AgAONRn6fdMJhN0Oh0/Q78n9mzjlrJ27VpBqVQKK1euFE6dOiVMnTpV8PLyEoqKisSOZjNefvllYfv27UJOTo6wZ88eYejQoYKvr69QUlIidjTRVFZWCocPHxYOHz4sABDef/994fDhw8KlS5cEQRCEefPmCV5eXsJ3330nHDt2TBg5cqQQGRkp1NbWipy8ddzu+FRWVgp//etfhfT0dCEnJ0f45ZdfhHvuuUfo1KmToNVqxY7eap599llBpVIJ27dvFwoLC81fNTU15tc888wzQnh4uPDrr78KBw8eFJKSkoSkpCQRU7euOx2jc+fOCW+99ZZw8OBBIScnR/juu++EDh06CAMHDhQ5eet59dVXhR07dgg5OTnCsWPHhFdffVWQSCTCzz//LAgCP0M3arNFRhAE4aOPPhLCw8MFhUIh9OnTR9i3b5/YkWzKuHHjhKCgIEGhUAghISHCuHHjhHPnzokdS1Tbtm0TADT6SklJEQSh/hLsWbNmCQEBAYJSqRSGDBkiZGdnixu6Fd3u+NTU1AjDhw8X/Pz8BLlcLkRERAhPP/20w/3Hw82ODwBhxYoV5tfU1tYKzz33nNCuXTvB1dVVeOSRR4TCwkLxQreyOx2j3NxcYeDAgYK3t7egVCqFqKgo4W9/+5ugVqvFDd6KJk+eLERERAgKhULw8/MThgwZYi4xgsDP0I0kgiAIrTf+Q0RERGQ9bXKODBERETkGFhkiIiKyWywyREREZLdYZIiIiMhuscgQERGR3WKRISIiIrvFIkNERER2i0WGiByCRCLBxo0bxY5BRFbGIkNEopo4cSIkEgkkEgnkcjkiIyPxyiuvQKvVih2NiOyAk9gBiIjuv/9+rFixAgaDAZmZmUhJSYFEIsH//d//iR2NiGwcR2SISHRKpRKBgYEICwvDqFGjMHToUGzduhUAUF5ejvHjxyMkJASurq7o3r07vvrqqwbvv++++/DCCy/glVdegbe3NwIDA/Hmm2/e9me+8cYbCAoKwrFjx1rqr0VErYBFhohsyokTJ7B3714oFAoAgFarRUJCAn744QecOHECU6dOxRNPPIGMjIwG7/v888/h5uaG/fv3Y/78+XjrrbfMZehGgiDg+eefx6pVq7Br1y7ExcW1yt+LiFoGbxpJRKKaOHEivvzySzg7O6Ourg46nQ5SqRTffPMNxowZc9P3PPjgg4iJicF7770HoH5Exmg0YteuXebX9OnTB4MHD8a8efMA1E/2XbduHTZs2IDDhw9j69atCAkJafm/IBG1KM6RISLRDRo0CB9//DGqq6uxYMECODk5mUuM0WjEO++8g2+++Qb5+fnQ6/XQ6XRwdXVtsI/fj6wEBQWhpKSkwbbp06dDqVRi37598PX1bdm/FBG1Cp5aIiLRubm5ISoqCvHx8Vi+fDn279+PZcuWAQDeffddfPDBB/j73/+Obdu24ciRI0hOToZer2+wD7lc3uCxRCKByWRqsG3YsGHIz8/HTz/91LJ/ISJqNSwyRGRTpFIpXnvtNbz++uuora3Fnj17MHLkSPz5z39GfHw8OnTogDNnzjRr3w8//DDWrFmDp556CmvXrrVyciISA4sMEdmcP/3pT5DJZFi0aBE6deqErVu3Yu/evTh9+jT+8pe/oLi4uNn7fuSRR/DFF19g0qRJWL9+vRVTE5EYOEeGiGyOk5MTpk2bhvnz5+Pw4cO4cOECkpOT4erqiqlTp2LUqFFQq9XN3v/YsWNhMpnwxBNPQCqVYvTo0VZMT0StiVctERERkd3iqSUiIiKyWywyREREZLdYZIiIiMhuscgQERGR3WKRISIiIrvFIkNERER2i0WGiIiI7BaLDBEREdktFhkiIiKyWywyREREZLdYZIiIiMhuscgQERGR3fp/Kw1wNlr6W0MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(0,34),lambdas_sorted)\n",
    "plt.ylabel('Ascending eigenvalue')\n",
    "plt.xlabel('Rank')\n",
    "plt.xlim(0,34)\n",
    "plt.ylim(0,50)\n",
    "plt.savefig('特征值线图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "42a0ea73-c755-4494-9569-919ce3dcc4e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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q4DDGMG5yLUpKSuR0OlVcXKyIiAirywEAwDa8/Q61zTUjAACgaSKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClbDVRHgAcr8JllJlfpN2lZYoKD1VyQqQCAxxWlwXARz6FkSNHjqh58+bKzs5Wjx496qsmADip9JwCzViWq4LiMndbjDNU04cmKa1HjIWVAfCVT6dpgoKC1LFjR1VUVNRXPQBwUuk5BZqwIMsjiEhSYXGZJizIUnpOgUWVAagLn68Z+etf/6r7779fRUVF9VEPANSqwmU0Y1muTDWvVbbNWJarCld1PQA0Rj5fM/LCCy9o06ZNio2NVadOnRQWFubxelZWlt+KA4ATZeYXVTkicjwjqaC4TJn5Reqf2KbhCgNQZz6HkWHDhtVDGQDgnd2lNQeRuvQDYD2fw8j06dProw4A8EpUeKhf+wGwXp1v7V23bp02btwoSTrzzDPVq1cvvxUFADVJTohUjDNUhcVl1V434pAU7Tx2my8Ae/A5jOzevVs33nijVq1apVatWkmS9u/fr4svvliLFi1Su3bt/F0jALgFBjg0fWiSJizIkkPyCCSVI4xMH5rEeCOAjfh8N83EiRNVWlqq77//XkVFRSoqKlJOTo5KSko0adKk+qgRADyk9YjRvJG9Fe30PBUT7QzVvJG9GWcEsBmHMcan+9+cTqdWrFihfv36ebRnZmZq8ODB2r9/vz/rs1xJSYmcTqeKi4sVERFhdTkAjsMIrEDj5u13qM+naVwul4KCgqq0BwUFyeVy+bo6AKizwAAHt+8CTYDPp2kuueQSTZ48WTt37nS37dixQ3fffbcGDRrk1+IAAEDT53MYeeGFF1RSUqL4+HglJiYqMTFRCQkJKikp0fPPP18fNQIAgCbM59M0cXFxysrK0ooVK/TDDz9Ikrp3767U1FS/FwcAAJo+ny9g/cc//qHhw4crJCTEo/3w4cNatGiRRo0a5dcCrcYFrAAA1I2336E+h5HAwEAVFBQoKirKo33fvn2KiopqcjP6EkYAAKgbb79Dfb5mxBgjh6PqrXPbt2+X0+n0dXUAAOB3zutrRnr16iWHwyGHw6FBgwapWbPfFq2oqFB+fr7S0tLqpUgAANB0eR1GKmfrzc7O1pAhQ9SyZUv3a8HBwYqPj9e1117r9wIBAEDT5nUYqZytNz4+XjfeeGOVC1gBAADqwudrRpKSkpSdnV2lfe3atfrmm2/8URMAAPgd8TmM3Hnnndq2bVuV9h07dujOO+/0S1EAAOD3w+cwkpubq969e1dp79Wrl3Jzc/1SFAAA+P3wOYyEhIRo165dVdoLCgo87rABAADwhs9hZPDgwZo2bZqKi4vdbfv379f999+vSy+91K/FAQCAps/nQxmzZ8/WgAED1KlTJ/Xq1UvSsdt927dvrzfeeMPvBQIAgKbN5zDSoUMHrV+/XgsXLtR3332n5s2ba+zYsbrpppsUFBRUHzUCAIAmrE4XeYSFhWn8+PH+rgUAAPwO+XzNiCS98cYbuuCCCxQbG6v//Oc/kqRnnnlGS5cu9WtxAFCbCpdRxuZ9Wpq9Qxmb96nC5dO8nwAaCZ/DyLx58zRlyhRddtll+uWXX9yz9LZu3Vpz5szxd30AUK30nAJd8PgnuumlrzR5UbZueukrXfD4J0rPKbC6NAA+8jmMPP/883rppZf017/+1eNW3r59+2rDhg1+LQ4AqpOeU6AJC7JUUFzm0V5YXKYJC7IIJIDN+BxG8vPz3XfRHC8kJEQHDx70S1EAUJMKl9GMZbmq7oRMZduMZbmcsgFsxOcwkpCQUO3cNOnp6erevbs/agKAGmXmF1U5InI8I6mguEyZ+UUNVxSAU+Lz3TRTpkzRnXfeqbKyMhljlJmZqbfeekszZ87Uyy+/XB81AoDb7tKag0hd+gGwns9h5NZbb1Xz5s31wAMP6NChQ7r55psVGxurZ599VjfeeGN91AgAblv2enc6OCo8tJ4rAeAvdRpnZMSIERoxYoQOHTqkAwcOKCoqyt91AUAVFS6jN9f+56T9AhxSn06tG6AiAP7g8zUj//3f/638/HxJUosWLQgiABpMZn6RdpUePmk/l5HW/eeXBqgIgD/4HEbefvttdenSReedd57+3//7f9q7d2991AUAVfhyHQjXjAD24XMY+e6777R+/XoNHDhQs2fPVmxsrK644gq9+eabOnToUH3UCACSfLsOhGtGAPuo03DwZ555ph577DH9/PPP+vTTTxUfH68//elPio6O9nd9AOCWnBCp6IiQk/aLcYYqOSGyASoC4A91CiPHCwsLU/PmzRUcHKwjR474oyYAqFZggEMPXXnmSftNH5qkwABHA1QEwB/qFEby8/P16KOP6swzz1Tfvn317bffasaMGSosLPR3fQDgIa1HjOaP7K1WLYKqvNa6RZDmj+yttB4xFlQGoK58vrX33HPP1ddff62zzz5bY8eO1U033aQOHTrUR20AUK20HjG6NClaX23ep4yf90pyqH9iG53buQ1HRAAb8jmMDBo0SK+++qqSkpLqox4A8EpggEPnn95W55/e1upSAJwihzGG2aRqUVJSIqfTqeLiYkVERFhdDgAAtuHtd6jPR0YqKir0+uuva+XKldq9e7dcLpfH65988onv1QIAgN8tn8PI5MmT9frrr+uKK65Qjx495HBwfhYAANSdz2Fk0aJF+uc//6nLL7+8PuoBAAC/Mz7f2hscHKwuXbrURy0AAOB3yOcwcs899+jZZ5+VVde9zp07V/Hx8QoNDVVKSooyMzNr7Pv999/r2muvVXx8vBwOh+bMmdNwhQIAAK/4fJrm888/16effqp///vfOvPMMxUU5Dnw0Lvvvuu34k60ePFiTZkyRfPnz1dKSormzJmjIUOGKC8vr9rZgw8dOqTOnTvr+uuv1913311vdQEAgLrzOYy0atVKV199dX3UclJPP/20brvtNo0dO1aSNH/+fP3rX//Sq6++qvvuu69K/379+qlfv36SVO3rAADAej6Hkddee60+6jipw4cPa926dZo2bZq7LSAgQKmpqcrIyPDb+5SXl6u8vNz9vKSkxG/rBgAAVdVpbpqjR49qxYoV+vvf/67S0lJJ0s6dO3XgwAG/Fne8vXv3qqKiQu3bt/dob9++vV/nxJk5c6acTqf7ERcX57d1AwCAqnwOI//5z3901lln6aqrrtKdd96pPXv2SJIef/xx3XvvvX4vsKFNmzZNxcXF7se2bdusLgkAgCbN5zAyefJk9e3bV7/88ouaN2/ubr/66qu1cuVKvxZ3vLZt2yowMFC7du3yaN+1a5eio6P99j4hISGKiIjweAAAgPrjcxhZs2aNHnjgAQUHB3u0x8fHa8eOHX4r7ETBwcHq06ePR+BxuVxauXKl+vfvX2/vCwAA6pfPF7C6XC5VVFRUad++fbvCw8P9UlRNpkyZotGjR6tv375KTk7WnDlzdPDgQffdNaNGjVKHDh00c+ZMSccues3NzXX//44dO5Sdna2WLVsycBsAAI2Ez2Fk8ODBmjNnjl588UVJksPh0IEDBzR9+vR6HyJ++PDh2rNnjx588EEVFhaqZ8+eSk9Pd1/UunXrVgUE/HawZ+fOnerVq5f7+ezZszV79mxddNFFWrVqVb3WCgAAvOMwPg6lun37dg0ZMkTGGP3000/q27evfvrpJ7Vt21arV6+udvAxO/N2+mMAAODJ2+9Qn8OIdOzW3kWLFmn9+vU6cOCAevfurREjRnhc0NpUEEYAAKgbb79DfT5NI0nNmjXTyJEj61wcAABAJZ/DyPvvv19tu8PhUGhoqLp06aKEhIRTLgwAAPw++BxGhg0bJofDUWXW3so2h8OhCy64QEuWLFHr1q39VigAAGiafB5n5OOPP1a/fv308ccfu0cp/fjjj5WSkqLly5dr9erV2rdvX5MYjRUAANQ/n4+MTJ48WS+++KLOO+88d9ugQYMUGhqq8ePH6/vvv9ecOXP0hz/8wa+FAgCApsnnIyObN2+u9orYiIgI/fzzz5Kk008/XXv37j316gAAQJPncxjp06eP/vznP7snyJOkPXv26C9/+Yv69esnSfrpp5+Y7RZAvapwGWVs3qel2TuUsXmfKlw+j1IAoJHw+TTNK6+8oquuukqnnXaaO3Bs27ZNnTt31tKlSyVJBw4c0AMPPODfSgHg/6TnFGjGslwVFJe522KcoZo+NElpPWIsrAxAXdRp0DOXy6WPPvpIP/74oySpa9euuvTSSz2GYm8qGPQMaFzScwo0YUGWTvzF5fi//84b2ZtAAjQS9ToC6+8JYQRoPCpcRhc8/onHEZHjOSRFO0P1+dRLFBjgqLYPgIbj1xFYn3vuOY0fP16hoaF67rnnau07adIk3yoFAC9l5hfVGEQkyUgqKC5TZn6R+ie2abjCAJwSr8LIM888oxEjRig0NFTPPPNMjf0cDgdhBEC92V1acxCpSz8AjYNXYSQ/P7/a/weAhhQVHurXfgAahzpfcXr48GHl5eXp6NGj/qwHAGqUnBCpGGeoarsaJMYZquSEyAarCcCp8zmMHDp0SOPGjVOLFi105plnauvWrZKkiRMnatasWX4vEAAqBQY4NH1oUq19rjwnhotXAZvxOYxMmzZN3333nVatWqXQ0N8Ohaampmrx4sV+LQ4ATpTWI0bjB9Q8M/jfV+crPaegASsCcKp8DiNLlizRCy+8oAsuuEAOx29/fZx55pnavHmzX4sDgBNVuIwWf7O91j73vbuBEVkBG/E5jOzZs0dRUVFV2g8ePOgRTgCgPny1eZ/2HzpSa5/9h47oq837GqgiAKfK5zDSt29f/etf/3I/rwwgL7/8svr37++/ygCgGhk/ezcJp7f9AFjP57lpHnvsMV122WXKzc3V0aNH9eyzzyo3N1dffvmlPvvss/qoEQCO4+0RWI7UAnbh85GRCy64QNnZ2Tp69KjOOussffTRR4qKilJGRob69OlTHzUCgJu3I6syAitgHz4fGZGkxMREvfTSS/6uBQBOql98pBwOqbZZtRyOY/0A2EPTm2YXQJO27j+/1BpEpGNBZd1/fmmYggCcMsIIAFthfhqg6SGMALAV5qcBmh7CCABbOdn8NA4xPw1gN4QRALZy/Pw0JwaSyufThyYxPw1gI17dTXPNNdd4vcJ33323zsUAgDfSesRo3sjemrEsVwXFv10bEu0M1fShSUrrEWNhdQB85VUYcTqd7v83xui9996T0+lU3759JUnr1q3T/v37fQotAHAq0nrE6NKkaGXmF2l3aZmiwo+dmuGICGA/XoWR1157zf3/U6dO1Q033KD58+crMDBQklRRUaE77rhDERER9VMlAFQjMMDB4GZAE+Aw5mR37Htq166dPv/8c3Xt2tWjPS8vT+edd5727Wtak1OVlJTI6XSquLiYsAUAgA+8/Q71+QLWo0eP6ocffqjS/sMPP8jlcvm6OgAA8Dvn83DwY8eO1bhx47R582YlJydLktauXatZs2Zp7Nixfi8QAAA0bT6HkdmzZys6OlpPPfWUCgoKJEkxMTH685//rHvuucfvBQIAgKbN52tGjldSUiJJTfpaCq4ZARqvCpfhbhqgEfP2O7ROs/ZW4ssZgFXScwqqjDMSwzgjgC35fAHrrl27dMsttyg2NlbNmjVTYGCgxwMA6lt6ToEmLMjyCCKSVFhcpgkLspSeU2BRZQDqwucjI2PGjNHWrVv1t7/9TTExMXI4OCQKoOFUuIxmLMtVdeeXjY4NCT9jWa4uTYrmlA1gEz6Hkc8//1xr1qxRz54966EcAKhdZn5RlSMixzOSCorLlJlfxIBogE34fJomLi5Op3DNKwCckt2lNQeRuvQDYD2fw8icOXN03333acuWLfVQDgDULio81K/9AFjP59M0w4cP16FDh5SYmKgWLVooKCjI4/WioiK/FQcAJ0pOiFSMM1SFxWXVXjfi0LHZe5MTIhu6NAB15HMYmTNnTj2UAQDeCQxwaPrQJE1YkCWH5BFIKi9XnT40iYtXARs5pUHPfg8Y9AxonBhnBGj86nXQs4qKCi1ZskQbN26UJJ155pm68sorGWcEQINJ6xGjS5OiGYEVaAJ8PjKyadMmXX755dqxY4e6du0qScrLy1NcXJz+9a9/KTExsV4KtQpHRgAAqBtvv0N9vptm0qRJSkxM1LZt25SVlaWsrCxt3bpVCQkJmjRp0ikVDQAAfn98Pk3z2Wef6auvvlJk5G9Xqrdp00azZs3S+eef79fiAABA0+fzkZGQkBCVlpZWaT9w4ICCg4P9UhQAAPj98DmM/Nd//ZfGjx+vtWvXyhgjY4y++uor3X777bryyivro0YAANCE+RxGnnvuOSUmJqp///4KDQ1VaGiozj//fHXp0kXPPvtsfdQIANWqcBllbN6npdk7lLF5nypcjFQA2JHP14y0atVKS5cu1aZNm9y39nbv3l1dunTxe3EAUBPGGQGaDgY9Owlu7QUan/ScAk1YkFVlOPjKEUbmjexNIAEagXq7tffaa6/V448/XqX9iSee0PXXX+/r6gDAJxUuoxnLcqudl6aybcayXE7ZADbicxhZvXq1Lr/88irtl112mVavXu2XogCgJpn5RR6nZk5kJBUUlykzn0k7AbvwOYzUdAtvUFCQSkpK/FIUANRkd2nNQaQu/QBYz+cwctZZZ2nx4sVV2hctWqSkpCS/FAUANYkKD/VrPwDW8/lumr/97W+65pprtHnzZl1yySWSpJUrV+qtt97S22+/7fcCAeB4yQmRinGGqrC4rNrrRhySop3HJs0DYA8+HxkZOnSolixZok2bNumOO+7QPffco+3bt2vFihUaNmxYPZQIAL8JDHBo+tBjR2FPnJ+38vn0oUnM3gvYCLf2ngS39gKNE+OMAI1fvd3aK0n79+/Xyy+/rPvvv19FRceuWM/KytKOHTvqVq0P5s6dq/j4eIWGhiolJUWZmZm19n/77bfVrVs3hYaG6qyzztIHH3xQ7zUCqH9pPWL0+dRL9NZt5+rZG3vqrdvO1edTLyGIADbkcxhZv369zjjjDD3++ON68skntX//fknSu+++q2nTpvm7Pg+LFy/WlClTNH36dGVlZemcc87RkCFDtHv37mr7f/nll7rppps0btw4ffvttxo2bJiGDRumnJyceq0TQMMIDHCof2IbXdWzg/ontuHUDGBTPp+mSU1NVe/evfXEE08oPDxc3333nTp37qwvv/xSN998s7Zs2VJPpUopKSnq16+fXnjhBUmSy+VSXFycJk6cqPvuu69K/+HDh+vgwYNavny5u+3cc89Vz549NX/+fK/ek9M0AADUTb2dpvn666/1xz/+sUp7hw4dVFhY6OvqvHb48GGtW7dOqamp7raAgAClpqYqIyOj2mUyMjI8+kvSkCFDauwvSeXl5SopKfF4AACA+uNzGAkJCan2C/rHH39Uu3bt/FJUdfbu3auKigq1b9/eo719+/Y1hqDCwkKf+kvSzJkz5XQ63Y+4uLhTLx4AANTI5zBy5ZVX6uGHH9aRI0ckSQ6HQ1u3btXUqVN17bXX+r3AhjZt2jQVFxe7H9u2bbO6JAAAmjSfw8hTTz2lAwcOKCoqSr/++qsuuugidenSReHh4Xr00Ufro0ZJUtu2bRUYGKhdu3Z5tO/atUvR0dHVLhMdHe1Tf+nYkZ+IiAiPBwAAqD8+hxGn06mPP/5Yy5cv13PPPae77rpLH3zwgT777DOFhYXVR42SpODgYPXp00crV650t7lcLq1cuVL9+/evdpn+/ft79Jekjz/+uMb+AACg4fk8HHyl888/X+eff74/azmpKVOmaPTo0erbt6+Sk5M1Z84cHTx4UGPHjpUkjRo1Sh06dNDMmTMlSZMnT9ZFF12kp556SldccYUWLVqkb775Ri+++GKD1g0AAGrm9ZGRjIwMj1tkJekf//iHEhISFBUVpfHjx6u8vNzvBR5v+PDhmj17th588EH17NlT2dnZSk9Pd1+kunXrVhUUFLj7n3feeXrzzTf14osv6pxzztH//u//asmSJerRo0e91gkAALzn9Tgjl112mQYOHKipU6dKkjZs2KDevXtrzJgx6t69u5588kn98Y9/1EMPPVSf9TY4xhkBAKBu/D7OSHZ2tgYNGuR+vmjRIqWkpOill17SlClT9Nxzz+mf//znqVUNAAB+d7wOI7/88ovHmB2fffaZLrvsMvfzfv36cRssAADwmddhpH379srPz5d0bDTUrKwsnXvuue7XS0tLFRQU5P8KAQBAk+Z1GLn88st13333ac2aNZo2bZpatGihCy+80P36+vXrlZiYWC9FAgCApsvrW3sfeeQRXXPNNbrooovUsmVL/c///I+Cg4Pdr7/66qsaPHhwvRQJAACaLp9n7S0uLlbLli0VGBjo0V5UVKSWLVt6BJSmgLtpAACoG2+/Q30e9MzpdFbbHhkZ6euqAAAAfB8OHgAAwJ8IIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALBUM6sLAIC6qHAZZeYXaXdpmaLCQ5WcEKnAAIfVZQGoA8IIANtJzynQjGW5Kiguc7fFOEM1fWiS0nrEWFgZgLrgNA0AW0nPKdCEBVkeQUSSCovLNGFBltJzCiyqDEBdEUYA2EaFy2jGslyZal6rbJuxLFcVrup6AGisCCMAbCMzv6jKEZHjGUkFxWXKzC9quKIAnDLCCADb2F1acxCpSz8AjQNhBIBtRIWH+rUfgMaBMALANpITIhXjDFVNN/A6dOyumuSEyIYsC8ApIowAsI3AAIemD02SpCqBpPL59KFJjDcC2AxhBICtpPWI0byRvRXt9DwVE+0M1byRvRlnBLAhBj0DYDtpPWJ0aVI0I7ACTQRhBIAtBQY41D+xjdVlAPADTtMAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAIAACxFGAEAAJYijAAAAEsRRgAAgKUYDh6AbVW4DPPTAE0AYQSALaXnFGjGslwVFJe522KcoZo+NImZewGb4TQNANtJzynQhAVZHkFEkgqLyzRhQZbScwosqgxAXRBGANhKhctoxrJcmWpeq2ybsSxXFa7qegBojAgjAGwlM7+oyhGR4xlJBcVlyswvariiAJwSwggAW9ldWnMQqUs/ANYjjACwlajwUL/2A2A9wggAW0lOiFSMM1Q13cDr0LG7apITIhuyLACngDACwFYCAxy68pyYai9grTR9aBLjjQA2QhgBYCvpOQV6cXV+ja+PH5DAOCOAzRBGANhGbbf1Vnr/uwJu6wVshjACwDZOdluvxG29gB3ZJowUFRVpxIgRioiIUKtWrTRu3DgdOHCg1mVefPFFDRw4UBEREXI4HNq/f3/DFAugXnBbL9A02SaMjBgxQt9//70+/vhjLV++XKtXr9b48eNrXebQoUNKS0vT/fff30BVAqhP3NYLNE22mChv48aNSk9P19dff62+fftKkp5//nldfvnlmj17tmJjY6td7k9/+pMkadWqVQ1UKYD6VHlbb2FxWbXXjTgkRXNbL2A7tjgykpGRoVatWrmDiCSlpqYqICBAa9eu9et7lZeXq6SkxOMBoHEIDHBo+tAkSaoyzkjlc27rBezHFmGksLBQUVFRHm3NmjVTZGSkCgsL/fpeM2fOlNPpdD/i4uL8un4ApyatR4zmjeytaKfnqZhoZ6jmjezNbb2ADVl6mua+++7T448/XmufjRs3NlA1x0ybNk1TpkxxPy8pKSGQAI1MWo8YXZoUrcz8Iu0uLVNU+LFTMxwRAezJ0jByzz33aMyYMbX26dy5s6Kjo7V7926P9qNHj6qoqEjR0dF+rSkkJEQhISF+XScA/wsMcKh/YhurywDgB5aGkXbt2qldu3Yn7de/f3/t379f69atU58+fSRJn3zyiVwul1JSUuq7TAAAUI9scc1I9+7dlZaWpttuu02ZmZn64osvdNddd+nGG29030mzY8cOdevWTZmZme7lCgsLlZ2drU2bNkmSNmzYoOzsbBUVMSASAACNhS3CiCQtXLhQ3bp106BBg3T55Zfrggsu0Isvvuh+/ciRI8rLy9OhQ4fcbfPnz1evXr102223SZIGDBigXr166f3332/w+gEAQPUcxhgmcahFSUmJnE6niouLFRERYXU5AADYhrffobY5MgIAAJomW4zACgAnqnAZbu0FmgjCCADbSc8p0IxluR4z+MY4QzV9aBKDngE2xGkaALaSnlOgCQuyPIKIJBUWl2nCgiyl5xRYVBmAuiKMALCNCpfRjGW51U6SV9k2Y1muKlxclw/YCWEEgG1k5hdVOSJyPCOpoLhMmfmMJQTYCWEEgG3sLq05iNSlH4DGgTACwDaiwkNP3smHfgAaB8IIANtITohUjPPkQeOXg4cboBoA/kIYAWAbgQEO/e2K7ift98i/uIgVsBPCCABbaR0WctI+XMQK2AthBICtcBEr0PQQRgDYStuWJz8y4ks/ANYjjACwFVeFd9eCeNsPgPUIIwBsZe2WfX7tB8B6hBEANuPtzLzM4AvYBWEEgK00C/AuZPRPbFPPlQDwF8IIANuocBkt+nrbSfu1at5M53YmjAB2QRgBYBuZ+UUqLDn5Lbtjz09QoJdHUABYjzACwDa8HTskvm1YPVcCwJ8IIwBsg4nygKaJMALANionyqvpBIxDUowzVMkJkQ1ZFoBTRBgBYBuBAQ5NH5okqeqNu5XPpw9N4noRwGYIIwBsJa1HjMYPSJCjmjRy64UJSusRY0ldAOqOMALAVtJzCvTi6ny5Thjt3RjppTX5mvlBrjWFAagzwggA26hwGc1YlqvaZp35++p8fbB+Z4PVBODUEUYA2EZmfpEKik9+e+8DS3NUceKhEwCNFmEEgG14O85I0cEjyswvqudqAPgLYQSAbfgyfoi3wQWA9QgjAGwjOSFSkWHBXvVl4DPAPggjAGwjMMCha3t3OGk/Bj4D7IUwAsA2KlxGy9cXnLTf365g4DPATggjAGzD27tpWnt5KgdA40AYAWAbhcW/+rUfgMaBMALANooOHvZrPwCNA2EEgG1Etgzxaz8AjQNhBIBtREd4d7uut/0ANA6EEQC2kZwQqRhn7UGD23oB+yGMALCNwACHpg9NkkPSiTfuVrZNH8ptvYDdEEYA2EpajxiNH5AgRzV549YL45XWI6bhiwJwSggjAGwlPadAL67O14mT8hpJL63Zopkf5FpSF4C6I4wAsI0Kl9GMZbkytfT5++p8feDFKK0AGg/CCADb8HYE1r8tzVHFiYdOADRahBEAtlFYcvIgIkn7Dh5WZn5RPVcDwF8IIwBso+hAudd9d5d6F1wAWI8wAsA2In2YAC8qnIHPALsgjACwjWhnc6/6tQkLZuAzwEYIIwBsw5sRWCXpkat6MPAZYCOEEQC2cfwIrDX544AEXX42A58BdkIYAWAraT1iNG9k7ypHSCLDgvT/bu6laZcnWVQZgLpqZnUBAOCrtB4xujQpWpn5RdpdWqao8GOT43FqBrAnwggAWwoMcKh/YhurywDgB4QRALZU4TIcGQGaCMIIANtJzynQjGW5HkPDxzhDNX1oErP2AjbEBawAbCU9p0ATFmRVmaOmsLhMExZkKT2HSfIAuyGMALCN2mbtrWybsSyXSfIAmyGMALCNk83aayQVFJcxSR5gM4QRALbh7eR3TJIH2AthBIBttA0L8Ws/AI0DYQSAfXh75y53+AK2QhgBYBt7D5T7tR+AxsE2YaSoqEgjRoxQRESEWrVqpXHjxunAgQO19p84caK6du2q5s2bq2PHjpo0aZKKi4sbsGoA/hQVfvIZe33pB6BxsE0YGTFihL7//nt9/PHHWr58uVavXq3x48fX2H/nzp3auXOnZs+erZycHL3++utKT0/XuHHjGrBqAP6UnBCpGGdojWdhHDo2+FlyQmRDlgXgFDmMMY3+hvyNGzcqKSlJX3/9tfr27StJSk9P1+WXX67t27crNjbWq/W8/fbbGjlypA4ePKhmzbwbfLakpEROp1PFxcWKiIio82cA4B+Vg55J8hhvpDKgzBvZm1FYgUbC2+9QWxwZycjIUKtWrdxBRJJSU1MVEBCgtWvXer2eyo1RWxApLy9XSUmJxwNA45HWI0bzRvZWtNPzVEy0M5QgAtiULeamKSwsVFRUlEdbs2bNFBkZqcLCQq/WsXfvXj3yyCO1ntqRpJkzZ2rGjBl1rhVA/UvrEaNLk6KZKA9oIiw9MnLffffJ4XDU+vjhhx9O+X1KSkp0xRVXKCkpSQ899FCtfadNm6bi4mL3Y9u2baf8/gD8LzDAof6JbXRVzw7qn9iGIALYmKVHRu655x6NGTOm1j6dO3dWdHS0du/e7dF+9OhRFRUVKTo6utblS0tLlZaWpvDwcL333nsKCgqqtX9ISIhCQhgwCQCAhmJpGGnXrp3atWt30n79+/fX/v37tW7dOvXp00eS9Mknn8jlciklJaXG5UpKSjRkyBCFhITo/fffV2got/sBANDY2OIC1u7duystLU233XabMjMz9cUXX+iuu+7SjTfe6L6TZseOHerWrZsyMzMlHQsigwcP1sGDB/XKK6+opKREhYWFKiwsVEVFhZUfB4AfVLiMMjbv09LsHcrYvI+ZegEbs8UFrJK0cOFC3XXXXRo0aJACAgJ07bXX6rnnnnO/fuTIEeXl5enQoUOSpKysLPedNl26dPFYV35+vuLj4xusdgD+lZ5ToBnLcj1m8I1xhmr60CTupgFsyBbjjFiJcUaAxqVynJETf3ExzgjQ+DSpcUYAQDp2ambGstwqQUT6bQC0GctyOWUD2AxhBIBtZOYXeZyaOZGRVFBcpsz8ooYrCsApI4wAsI3dpTUHkbr0A9A4EEYA2Aaz9gJNE2EEgG0way/QNBFGANhGYIBD04cmSVKVQFL5fPrQJIaGB2yGMALAVpi1F2h6bDPoGQBUYtZeoGkhjACwpcpZewHYH6dpAACApQgjAADAUoQRAABgKcIIAACwFGEEAABYijACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKWXtPwhgjSSopKbG4EgAA7KXyu7Pyu7QmhJGTKC0tlSTFxcVZXAkAAPZUWloqp9NZ4+sOc7K48jvncrm0c+dOhYeHy+FwWF1OjUpKShQXF6dt27YpIiLC6nIsxbbwxPb4DdvCE9vjN2wLT/7aHsYYlZaWKjY2VgEBNV8ZwpGRkwgICNBpp51mdRlei4iI4B/S/2FbeGJ7/IZt4Ynt8Ru2hSd/bI/ajohU4gJWAABgKcIIAACwFGGkiQgJCdH06dMVEhJidSmWY1t4Ynv8hm3hie3xG7aFp4beHlzACgAALMWREQAAYCnCCAAAsBRhBAAAWIowAgAALEUYsbl//etfSklJUfPmzdW6dWsNGzas1v5jxoyRw+HweKSlpTVMsfXM121hjNGDDz6omJgYNW/eXKmpqfrpp58apth6Fh8fX+XnPGvWrFqXGThwYJVlbr/99gaquP7UZVuUlZXpzjvvVJs2bdSyZUtde+212rVrVwNVXP/Ky8vVs2dPORwOZWdn19q3qe4Xx/NlezTVfePKK69Ux44dFRoaqpiYGN1yyy3auXNnrcv4c98gjNjYO++8o1tuuUVjx47Vd999py+++EI333zzSZdLS0tTQUGB+/HWW281QLX1qy7b4oknntBzzz2n+fPna+3atQoLC9OQIUNUVlbWQFXXr4cfftjj5zxx4sSTLnPbbbd5LPPEE080QKX1z9dtcffdd2vZsmV6++239dlnn2nnzp265pprGqja+veXv/xFsbGxXvdvqvtFJV+2R1PdNy6++GL985//VF5ent555x1t3rxZ11133UmX89u+YWBLR44cMR06dDAvv/yyT8uNHj3aXHXVVfVTlEXqsi1cLpeJjo42Tz75pLtt//79JiQkxLz11lv1UWaD6tSpk3nmmWd8Wuaiiy4ykydPrpd6rOTrtti/f78JCgoyb7/9trtt48aNRpLJyMiohwob1gcffGC6detmvv/+eyPJfPvtt7X2b6r7RSVftkdT3zeOt3TpUuNwOMzhw4dr7OPPfYMjIzaVlZWlHTt2KCAgQL169VJMTIwuu+wy5eTknHTZVatWKSoqSl27dtWECRO0b9++Bqi4/tRlW+Tn56uwsFCpqanuNqfTqZSUFGVkZDRE2fVu1qxZatOmjXr16qUnn3xSR48ePekyCxcuVNu2bdWjRw9NmzZNhw4daoBK658v22LdunU6cuSIx77RrVs3dezY0fb7xq5du3TbbbfpjTfeUIsWLbxerqnuF75uj6a8bxyvqKhICxcu1HnnnaegoKBa+/pr32CiPJv6+eefJUkPPfSQnn76acXHx+upp57SwIED9eOPPyoyMrLa5dLS0nTNNdcoISFBmzdv1v3336/LLrtMGRkZCgwMbMiP4Dd12RaFhYWSpPbt23u0t2/f3v2anU2aNEm9e/dWZGSkvvzyS02bNk0FBQV6+umna1zm5ptvVqdOnRQbG6v169dr6tSpysvL07vvvtuAlfufr9uisLBQwcHBatWqlUe73fcNY4zGjBmj22+/XX379tWWLVu8Wq6p7hd12R5Ndd+oNHXqVL3wwgs6dOiQzj33XC1fvrzW/n7dN/xyfAV+M3XqVCOp1sfGjRvNwoULjSTz97//3b1sWVmZadu2rZk/f77X77d582YjyaxYsaI+Ps4pqc9t8cUXXxhJZufOnR7t119/vbnhhhvq9XPVlbfbozqvvPKKadasmSkrK/P6/VauXGkkmU2bNvnrI/hNfW6LhQsXmuDg4Crt/fr1M3/5y1/8+jn8wdtt8eyzz5rzzz/fHD161BhjTH5+vlenaU7UmPcLY+p3ezTVfaPSnj17TF5envnoo4/M+eefby6//HLjcrm8fr9T2Tc4MtLI3HPPPRozZkytfTp37qyCggJJUlJSkrs9JCREnTt31tatW71+v86dO6tt27batGmTBg0aVKea60t9bovo6GhJxw7TxsTEuNt37dqlnj17nlrh9cTb7VGdlJQUHT16VFu2bFHXrl29er+UlBRJ0qZNm5SYmOhTrfWtPrdFdHS0Dh8+rP3793v8Bbxr1y73ftOYeLstPvnkE2VkZFSZa6Rv374aMWKE/ud//ser92vM+4VUv9ujqe4bldq2bau2bdvqjDPOUPfu3RUXF6evvvpK/fv39+r9TmXfIIw0Mu3atVO7du1O2q9Pnz4KCQlRXl6eLrjgAknSkSNHtGXLFnXq1Mnr99u+fbv27dvn8YXcWNTntkhISFB0dLRWrlzpDh8lJSVau3atJkyY4LfP4E/ebo/qZGdnKyAgQFFRUT4tI8nW+0Z1TrYt+vTpo6CgIK1cuVLXXnutJCkvL09bt271+pdyQ/J2Wzz33HP67//+b/fznTt3asiQIVq8eLH7S8QbjXm/kOp3ezTVfaM6LpdL0rHbnr11SvuGz8dS0GhMnjzZdOjQwXz44Yfmhx9+MOPGjTNRUVGmqKjI3adr167m3XffNcYYU1paau69916TkZFh8vPzzYoVK0zv3r3N6aef7tPh+8bI121hjDGzZs0yrVq1MkuXLjXr1683V111lUlISDC//vqrFR/Bb7788kvzzDPPmOzsbLN582azYMEC065dOzNq1Ch3n+3bt5uuXbuatWvXGmOM2bRpk3n44YfNN998Y/Lz883SpUtN586dzYABA6z6GH5Rl21hjDG333676dixo/nkk0/MN998Y/r372/69+9vxUeoN9Wdlvi97BfV8WZ7GNM0942vvvrKPP/88+bbb781W7ZsMStXrjTnnXeeSUxMdH831Pe+QRixscOHD5t77rnHREVFmfDwcJOammpycnI8+kgyr732mjHGmEOHDpnBgwebdu3amaCgINOpUydz2223mcLCQguq9y9ft4Uxx27v/dvf/mbat29vQkJCzKBBg0xeXl4DV+5/69atMykpKcbpdJrQ0FDTvXt389hjj3kEzspfvJ9++qkxxpitW7eaAQMGmMjISBMSEmK6dOli/vznP5vi4mKLPoV/1GVbGGPMr7/+au644w7TunVr06JFC3P11VebgoICCz5B/anuy/f3sl9Ux5vtYUzT3DfWr19vLr74YvfPOT4+3tx+++1m+/bt7j71vW84jDHG9+MpAAAA/sE4IwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGgN+pgQMH6k9/+pPVZUiSxowZo2HDhlldRqOzevVqDR06VLGxsXI4HFqyZInl7/fQQw+pW7duCgsLU+vWrZWamqq1a9fW+T0LCgp0880364wzzlBAQIBX++Trr78uh8NR7WP37t11Wu+iRYvkcDiq7Ie7du3SmDFjFBsbqxYtWigtLU0//fSTR5/CwkLdcsstio6OVlhYmHr37q133nnHo098fHyVWmfNmuXR58MPP9S5556r8PBwtWvXTtdee63HbMKrVq2q9jMfP2NwQ+8z/npPwgjQhI0ZM6baX16bNm3Su+++q0ceeeSU1u+vX3bPPvusXn/99VNeT2NT+eWxf//+Oi1/8OBBnXPOOZo7d65/CzuF9zvjjDP0wgsvaMOGDfr8888VHx+vwYMHa8+ePXV6z/LycrVr104PPPCAzjnnHK+WGT58uAoKCjweQ4YM0UUXXeSec8iX9W7ZskX33nuvLrzwQo92Y4yGDRumn3/+WUuXLtW3336rTp06KTU1VQcPHnT3GzVqlPLy8vT+++9rw4YNuuaaa3TDDTfo22+/9Vjfww8/7FHzxIkT3a/l5+frqquu0iWXXKLs7Gx9+OGH2rt3r6655poq9ebl5Xms5/h5lhp6n/Hbe57yOLIAGq3Ro0ebtLQ0U1BQ4PGonDa9NuXl5SftI8m89957fqi0afr000+NJPPLL7+c0npcLle127qsrMzcc889JjY21rRo0cIkJyd7DF1+Krz92RYXFxtJZsWKFaf8nhdddJGZPHmyz8vt3r3bBAUFmX/84x8+r/fo0aPmvPPOMy+//LIZPXq0ueqqq9yv5eXlGUkeU0tUVFSYdu3amZdeesndFhYWVuW9IyMjPfp06tTJPPPMMzV+hrfffts0a9bMVFRUuNvef/9943A4zOHDh40xvu9PNf0MG8N+cyKOjABNXEhIiKKjoz0egYGBVU7TxMfH65FHHtGoUaMUERGh8ePH6/Dhw7rrrrsUExOj0NBQderUSTNnznT3l6Srr75aDofD/bw627Zt0w033KBWrVopMjJSV111lcfh5xNP05SWlmrEiBEKCwtTTEyMnnnmmSr1lpeX695771WHDh0UFhamlJQUrVq1yv3666+/rlatWunDDz9U9+7d1bJlS6WlpamgoECS9NFHHyk0NLTKUYvJkyfrkksucT///PPPdeGFF6p58+aKi4vTpEmTPP4qLi8v19SpUxUXF6eQkBB16dJFr7zyirZs2aKLL75YktS6dWs5HA73dO7l5eWaNGmSoqKiFBoaqgsuuEBff/21e52VR1T+/e9/u2elrs5dd92ljIwMLVq0SOvXr9f1119f7WmE+nL48GG9+OKLcjqdXh/VqA//+Mc/1KJFC1133XU+L/vwww8rKipK48aNq/Ja5Yy1oaGh7raAgACFhITo888/d7edd955Wrx4sYqKiuRyubRo0SKVlZVp4MCBHuubNWuW2rRpo169eunJJ5/U0aNH3a/16dNHAQEBeu2111RRUaHi4mK98cYbSk1NVVBQkMd6evbsqZiYGF166aX64osvfP7MVu831fJLFALQKJ34l97xTvxrsVOnTiYiIsLMnj3bbNq0yWzatMk8+eSTJi4uzqxevdps2bLFrFmzxrz55pvGmGN/jer/Jh8sKCgwu3fvrvZ9Dh8+bLp3727+8Ic/mPXr15vc3Fxz8803m65du7qPvpxY56233mo6depkVqxYYTZs2GCuvvpqEx4e7lHvrbfeas477zyzevVqd60hISHmxx9/NMYY89prr5mgoCCTmppqvv76a7Nu3TrTvXt3c/PNNxtjjv1F3L59e/Pyyy+713li26ZNm0xYWJh55plnzI8//mi++OIL06tXLzNmzBj3MjfccIOJi4sz7777rtm8ebNZsWKFWbRokTl69Kh55513jCSTl5dnCgoKzP79+40xxkyaNMnExsaaDz74wHz//fdm9OjRpnXr1mbfvn3GmN/+Aj777LPNRx99ZDZt2lTlL87//Oc/JjAw0OzYscNjew8aNMhMmzat2p+FL058v+MtW7bMhIWFGYfDYWJjY01mZuYpv58xdT8y0r17dzNhwgSf17tmzRrToUMHs2fPHmNM1f3w8OHDpmPHjub66683RUVFpry83MyaNctIMoMHD3b3++WXX8zgwYONJNOsWTMTERFhPvzwQ4/3euqpp8ynn35qvvvuOzNv3jzTqlUrc/fdd3v0WbVqlYmKijKBgYFGkunfv7/HUZAffvjBzJ8/33zzzTfmiy++MGPHjjXNmjUz69atq/ZzV/cztHK/qXW5U35nAI3W6NGjTWBgoAkLC3M/rrvuOmNM9WFk2LBhHstPnDjRXHLJJcblclW7fm9+8bzxxhuma9euHusoLy83zZs3d//CPv5LoKSkxAQFBZm3337b3X///v2mRYsW7nq9+YX62muvGUlm06ZN7tfnzp1r2rdv734+efJkc8kll7iff/jhhyYkJMT9BTBu3Dgzfvx4j/dYs2aNCQgIML/++qv7MP7HH39c7Wev7rD6gQMHTFBQkFm4cKG77fDhwyY2NtY88cQTHsstWbLE3efEbb18+XIjyeNnGxYWZpo1a2ZuuOEGY4wxGzduNJJqfUydOrXa2mv72R44cMD89NNPJiMjw/zhD38w8fHxZteuXe7X27dvX+t7pqSkVLveuoSRL7/80kgy33zzTY19qltvSUmJiY+PNx988IG7rbrw/s0335hzzjnHSDKBgYFmyJAh5rLLLjNpaWnuPnfddZdJTk42K1asMNnZ2eahhx4yTqfTrF+/vsaaXnnlFdOsWTP3DNIFBQXm9NNPN3/+859NVlaW+eyzz8xFF11kBg0aVOO/P2OMGTBggBk5cmS1r1X3M7Ryv6lNs/o42gKg8bj44os1b9489/OwsLAa+/bt29fj+ZgxY3TppZeqa9euSktL03/9139p8ODBPr3/d999p02bNik8PNyjvaysTJs3b67S/+eff9aRI0eUnJzsbnM6neratav7+YYNG1RRUaEzzjjDY9ny8nK1adPG/bxFixZKTEx0P4+JiXHfbSFJI0aM0LnnnqudO3cqNjZWCxcu1BVXXKFWrVq5a1+/fr0WLlzoXsYYI5fLpfz8fG3YsEGBgYG66KKLvN4emzdv1pEjR3T++ee724KCgpScnKyNGzd69D3x53G8AwcOKDAwUOvWrVNgYKDHay1btpQkde7cuco6T3T89vJWWFiYunTpoi5duujcc8/V6aefrldeeUXTpk2TdOzU1vGnIE7UvHlzn9+zJi+//LJ69uypPn36+LTc5s2btWXLFg0dOtTd5nK5JEnNmjVTXl6eEhMT1adPH2VnZ6u4uFiHDx9Wu3btlJKS4v7ZbN68WS+88IJycnJ05plnSpLOOeccrVmzRnPnztX8+fOrff+UlBQdPXpUW7ZsUdeuXTV37lw5nU498cQT7j4LFixQXFyc1q5dq3PPPbfa9SQnJ3ucMjoZK/eb2hBGgCau8ovD277H6927t/Lz8/Xvf/9bK1as0A033KDU1FT97//+r9fvf+DAAfXp08fjC71Su3btvF7Pies82S9USVXOtTscDh374+2Yfv36KTExUYsWLdKECRP03nvvedzVc+DAAf3xj3/UpEmTqtTQsWNHbdq0qU71e6u24NirVy9VVFRo9+7dVe4CqRQcHKxu3brVV3luLpfLfX2FJK/3t1N14MAB/fOf/3Rfx+SLbt26acOGDR5tDzzwgEpLS/Xss88qLi7O4zWn0ylJ+umnn/TNN9+470Q7dOiQpGPXkhwvMDDQHW6qk52drYCAAPedMIcOHap2HZJOup6YmJgaXz9RY9pvjkcYAVCriIgIDR8+XMOHD9d1112ntLQ0FRUVKTIyUkFBQaqoqKh1+d69e2vx4sWKiopSRETESd+vc+fOCgoK0tdff62OHTtKkoqLi/Xjjz9qwIABkrz7heqtESNGaOHChTrttNMUEBCgK664wqP23NzcGr9czzrrLLlcLn322WdKTU2t8npwcLAkeWyjxMREBQcH64svvlCnTp0kSUeOHNHXX39dZSyMAwcOeFzom5+fr+zsbEVGRuqMM87QiBEjNGrUKD311FPq1auX9uzZo5UrV+rss8/2+BzeOnDggEfAOv79OnbsqIMHD+rRRx/VlVdeqZiYGO3du1dz587Vjh07dP311/v8fpWys7Pd779nzx5lZ2crODhYSUlJkqT33ntP06ZN0w8//OCx3OLFi3X06FGNHDnS5/WGhoaqR48eHv0rj4gd3/7222+rXbt26tixozZs2KDJkydr2LBh7iOE3bp1U5cuXfTHP/5Rs2fPVps2bbRkyRJ9/PHHWr58uSQpIyNDa9eu1cUXX6zw8HBlZGTo7rvv1siRI9W6dWtJ0hVXXKFnnnlGDz/8sG666SaVlpbq/vvvV6dOndSrVy9J0pw5c5SQkKAzzzxTZWVlevnll/XJJ5/oo48+ctd7sp+hFfuNV3w+sQPANny9gPXEWw+feuop8+abb5qNGzeavLw8M27cOBMdHe2+/fD00083EyZMMAUFBaaoqKja9zl48KA5/fTTzcCBA83q1avNzz//bD799FMzceJEs23btmrrvPXWW01CQoL55JNPTE5Ojrn22mtNeHi4+dOf/uTuM2LECBMfH2/eeecd8/PPP5u1a9eaxx57zCxfvtwYc+yaEafT6VHLe++9Z078tffTTz+5LxYdN26cx2vfffedad68ubnzzjvNt99+a3788UezZMkSc+edd7r7jBkzxsTFxZn33nvP/dkWL15sjDFm+/btxuFwmNdff93s3r3blJaWGmOOXasSGxtr/v3vf3tcwFq5DSuvGVm2bFm15+tHjx5tjDl2rcmDDz5o4uPjTVBQkImJiTFXX311rdcq1KbyfWt6v19//dVcffXVJjY21gQHB5uYmBhz5ZVXnvIFrNW9Z6dOndyvV17/c6L+/fu7L0iuy3pPVN2/l2effdacdtppJigoyHTs2NE88MADVW57//HHH80111xjoqKiTIsWLczZZ5/tcavvunXrTEpKinE6nSY0NNR0797dPPbYY+7rRSq99dZbplevXiYsLMy0a9fOXHnllWbjxo3u1x9//HGTmJhoQkNDTWRkpBk4cKD55JNPPNZxsp+hMQ2/33iDMAI0YacaRl588UXTs2dPExYWZiIiIsygQYNMVlaW+/X333/fdOnSxTRr1qzWX/IFBQVm1KhRpm3btiYkJMR07tzZ3Hbbbaa4uLjaOktKSszNN99sWrRoYaKjo83TTz9tkpOTzX333efuc7JfqN6GEWOMSU5ONpKq/GI3xpjMzExz6aWXmpYtW5qwsDBz9tlnm0cffdT9+q+//mruvvtuExMTY4KDg02XLl3Mq6++6n794YcfNtHR0cbhcHh8qU+cONG9Pc4//3yPL3R/jU8C2IXDmONOoAJAI3Tw4EF16NBBTz31VLXjQQCwN64ZAdDofPvtt/rhhx+UnJys4uJiPfzww5Kkq666yuLKANQHwgiARmn27NnKy8tTcHCw+vTpozVr1qht27ZWlwWgHnCaBgAAWIq5aQAAgKUIIwAAwFKEEQAAYCnCCAAAsBRhBAAAWIowAgAALEUYAQAAliKMAAAASxFGAACApf4/PbqZFNUdQ4oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "plt.scatter(V_sorted[:,0],V_sorted[:,1])\n",
    "plt.xlabel('First eigenvector')\n",
    "plt.ylabel('Second eigenvector')\n",
    "plt.savefig('特征向量散点图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d65be60d-28ad-4a05-b97e-53f73bfc4436",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 聚类标签\n",
    "colors = [ \"r\" for i in range(0,34)] \n",
    "for i in range(0,34):\n",
    "    if (V_sorted[i,1] < 0):\n",
    "        colors[i] = \"b\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a421f255-bdd1-4ad6-817b-cf8f52ba7d0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G,pos,\n",
    "                 # with_labels = False,\n",
    "                 node_color=colors)\n",
    "plt.savefig('图节点聚类.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "299c50e2-93b3-4bfd-99f9-21f17a8ab1f9",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "date": 1695941989.03344,
  "filename": "networks.md",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "title": "Social and Economic Networks"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
